Martynov, G. V. Probabilistic-statistical programs from “Applied Statistics”. (English. Russian original) Zbl 0705.62007 J. Sov. Math. 50, No. 3, 1643-1684 (1990); translation from Itogi Nauki Tekh., Ser. Teor. Veroyatn., Mat. Stat., Teor. Kibern. 26, 151-203 (1988). See the review in Zbl 0684.62007. MSC: 62-04 Software, source code, etc. for problems pertaining to statistics Keywords:statistical algorithms; computer programs; estimation of parameters; confidence and tolerance intervals; nonparametric estimates; hypothesis testing; contingency tables; regression analysis; multivariate analysis; variance analysis; experimental design; time series; cluster analysis; order statistics; distributions; FFT; matrix algebra; generation of pseudo random numbers; graphics; diagrams Citations:Zbl 0684.62007 Software:AS 190; ASA109; AS 124; AS 163; AS 187; AS 121; AS 189; AS 76; AS 170; AS 222; AS 88; AS 89; AS 67; AS 213; AS 95; AS 17; AS 16; AS 101; AS 119; AS 114; AS 181; AS 132; AS 125; AS 205; AS 128; AS 209; AS 145; AS 131; AS 139; AS 140; AS 142; AS 147; AS 177; AS 159; AS 164; AS 136; AS 199; AS 133; AS 167; AS 154; AS 160; AS 162; AS 165; AS 166; AS 130; AS 185; AS 188; AS 202; AS 218; AS 129; AS 123; AS 144; AS 141; AS 149; AS 150; AS 151; AS 171; AS 108; AS 137; AS 204; AS 223; AS 42; AS 102; AS 195; AS 200; AS 112; AS 210; AS 206; AS 208; AS 207; AS 134; AS 203; AS 135; AS 61; AS 169; AS 168; AS 110; AS 176; AS 46; AS 153; AS 211; AS 186; AS 157; AS 192; AS 221; AS 219; AS 106; AS 201; AS 158; AS 138; AS 94; AS 23; AS 191; AS 220; AS 118; AS 122; AS 92; AS 116; AS 214; AS 85; AS 22; AS 194; AS 41; AS 178; AS 2; AS 3; AS 4; AS 5; AS 10; AS 109; AS 24; AS 62; AS 93; AS 29; AS 79; AS 104; AS 26; AS 59; AS 73; AS 37; AS 38; AS 43; AS 68; AS 105; AS 50; AS 36; AS 21; AS 115; AS 126; AS 111; AS 143; AS 77; AS 103; AS 179; AS 71; AS 91; AS 32; AS 90; AS 6; AS 78; AS 180; AS 127; AS 11; AS 12; AS 31; AS 39; AS 66; AS 100; AS 99; AS 35; AS 193; AS 215; AS 156; AS 196; AS 28; AS 25; AS 33; AS 107; AS 152; AS 80; AS 81; AS 84; AS 86; AS 227; AS 87; AS 34; AS 98; AS 1; AS 18; AS 19; AS 75; AS 82; AS 51; AS 57; AS 217; AS 182; AS 72; AS 7; AS 69; AS 56; AS 13; AS 198; AS 15; AS 53; AS 30; AS 44; AS 45; AS 58; AS 60; AS 52; AS 212; AS 216; AS 27; AS 83; AS 117; AS 8; AS 9; AS 20; AS 97; AS 96; AS 172; AS 47; AS 55; AS 70; AS 54; AS 48; AS 49; AS 40; AS 65; AS 14; AS 74; AS 120; spatial; AS 155 PDF BibTeX XML Cite \textit{G. V. Martynov}, J. Sov. Math. 50, No. 3, 1643--1684 (1990; Zbl 0705.62007); translation from Itogi Nauki Tekh., Ser. Teor. Veroyatn., Mat. Stat., Teor. Kibern. 26, 151--203 (1988) Full Text: DOI References: [1] M. Agha and M. T. Ibrahim, ?Algorithm AS 203. Maximum likelihood estimation of mixtures of distributions,? Appl. Statist.,33, No. 3, 327?332 (1984). [2] D. F. Andrews and J. W. Tukey, ?Algorithm AS 61. Six-line plots,? Appl. Statist.,22, No. 2, 265?269 (1973). [3] R. D. Armstrong and D. S. Kung, ?Algorithm AS 135. Min-max estimates for a linear multiple regression problem,? Appl. Statist.,28, No. 1, 93?100 (1979). · Zbl 0454.65090 [4] R. D. Armstrong and Mabel Tam Kung, ?Algorithm AS 132. Least absolute value estimates for a simple linear regression problem,? Appl. Statist.,27, No. 3, 363?366 (1978). · Zbl 0437.62065 [5] A. C. Atkinson and J. Whittaker, ?Algorithm AS 134. The generation of beta random variables with one parameter greater than and one parameter less than 1,? Appl. Statist.,28, No. 1, 90?93 (1979). · Zbl 0453.65001 [6] J. Bacon-Shone, ?Algorithm AS 208. Fitting a multivariate logistic normal distribution by the method of moments,? Appl. Statist.,34, No. 1, 81?86 (1985). [7] J. Bacon-Shone, ?Algorithm AS 210. Fitting five parameter Jonson SB curves by moments,? Appl. Statist.,34, No. 1, 95?100 (1985). [8] R. J. Baker, ?Algorithm AS 112. Exact distributions derived from two-way tables,? Appl. Statist.,26, No. 2, 199?206 (1977). [9] N. Balakrishnan, ?Algorithm AS 200. Approximating the sum of squares of normal scores,? Appl. Statist.,33, No. 2, 242?245 (1984). [10] C. F. Banfield, ?Algorithm AS 102. Ultrametric distances for a single linkage dendrogram,? Appl. Statist.,25, No. 3, 313?315 (1976). [11] C. F. Banfield and L. C. Bassill, ?Algorithm AS 133. A transfer algorithm for non-hierarchical classification,? Appl. Statist.,26, No. 2, 206?210 (1977). [12] J. Baptista and M. C. Pike, ?Algorithm AS 115. Exact two-sided confidence limits for the odds ratio in 2{\(\times\)}2 table,? Appl. Statist.,26, No. 2, 214?220 (1977). [13] J. Barnard, ?Algorithm AS 126. Probability integral of the normal range,? Appl. Statist.,27, No. 2, 197?198 (1978). [14] L. Bayer and C. Cox, ?Algorithm AS 142. Exact tests of significance in binary regression models,? Appl. Statist.,28, No. 3, 319?324 (1979). · Zbl 0448.62035 [15] J. D. Beasley and S. G. Springer, ?Algorithm AS 111. The percentage points of the normal distribution,? Appl. Statist.,26, No. 1, 118?121 (1977). [16] F. K. Bedall and H. Zimmermann, ?Algorithm AS 143. The median-centre,? Appl. Statist.,28, No. 3, 325?328 (1979). · Zbl 0464.65100 [17] R. T. Benn and S. Sidebottom, ?Algorithm AS 95. Maximum-likelihood estimation of location and scale parameters from grouped data,? Appl. Statist.,25, No. 1, 88?93 (1976). [18] J. M. Bernardo, ?Algorithm AS 103. Psi (digamma) function,? Appl. Statist.,25, No. 3, 315?317 (1976). [19] K. J. Berry, ?Algorithm AS 179. Enumeration of all permutations of multisets with fixed repetition numbers,? Appl. Statist.,31, No. 2, 169?173 (1982). [20] D. J. Best and P. G. Gipps, ?Algorithm AS 71. The upper tail probabilities of Kendall’s tau,? Appl. Statist.,23, No. 1, 98?100 (1974). · Zbl 0292.62014 [21] D. J. Best and D. E. Roberts, ?Algorithm AS 89. The upper tail probabilities of Spearman’s rho,? Appl. Statist.,24, No. 3, 377?379 (1975). [22] D. J. Best and D. E. Roberts, ?Algorithm AS 91. The percentage points of the ?2 distribution,? Appl. Statist.,24, No. 3, 385?388 (1975). [23] G. P. Bhattacharjee, ?Algorithm AS 32. The incomplete gamma integral,? Appl. Statist.,19, No. 3, 285?287 (1970). [24] R. Bohrer, ?Algorithm AS 90. One-sided multi-variable inference,? Appl. Statist.,24, No. 3, 380?384 (1975). [25] R. Bohrer, ?Algorithm AS 220. Operating characteristics of James-Stein and Efron-Morris estimators,? Appl. Statist.,35, No. 2, 226?232 (1986). [26] R. Bohrer and W. Chow, ?Algorithm AS 122. Weights for one-sided multivariate inference,? Appl. Statist.,27, No. 1, 100?104 (1978). · Zbl 0436.62004 [27] R. Bohrer, M. J. Schervish, and J. Sheft, ?Algorithm AS 184. Noncentral Studentized maximum and related multiple-t probabilities,? Appl. Statist.,31, No. 3, 309?317 (1982). · Zbl 0508.62004 [28] J. M. Boyett, ?Algorithm AS 144. Random R{\(\times\)}C tables with given row and column totals,? Appl. Statist.,28, No. 3, 329?332 (1979). · Zbl 0431.62033 [29] J. M. Bremner, ?Algorithm AS 123. Mixtures of beta distributions,? Appl. Statist.,27, No. 1, 104?109 (1978). · Zbl 0436.62003 [30] G. Bril, R. Dykstra, C. Pillers, and T. Robertson, ?Algorithm AS 206. Isotonic regression in two independent variables,? Appl. Statist.,33, No. 3, 352?357 (1984). [31] P. Brooker and J. P. Selby, ?Algorithm AS 92. The sample size for a distribution-free tolerance interval,? Appl. Statist.,24, No. 3, 388?390 (1975). [32] M. B. Brown, ?Algorithm AS 116. The tetrachoric correlation and its asymptotic standard error,? Appl. Statist.,26, No. 3, 343?351 (1977). [33] S. T. Buckland, ?Algorithm AS 214. Calculation of Monte-Carlo confidence intervals,? Appl. Statist.,34, No. 3, 296?301 (1985). [34] J. Bukac, ?Algorithm AS 85. Critical values of the sign test,? Appl. Statist.,24, No. 2, 265?267 (1975). [35] J. T. Casagrande, M. C. Pike, and P. G. Smith, ?Algorithm AS 129. The power function of the ?exact? test for comparing two binomial distributions,? Appl. Statist.,27, No. 2, 212?219 (1978). · Zbl 0432.62016 [36] D. M. Charnock, ?Algorithm AS 150. Spectrum estimate for a counting process,? Appl. Statist.,29, No. 2, 211?214 (1980). · Zbl 0467.62079 [37] D. M. Charnock, ?Algorithm AS 151. Spectral estimates for bivariate counting processes by sectioning the data,? Appl. Statist.,29, No. 2, 214?220 (1980). · Zbl 0467.62080 [38] Lau Chi-Leung, ?Algorithm AS 147. A simple series for the incomplete gamma integral,? Appl. Statist.,29, No. 1, 113?114 (1980). · Zbl 0432.62002 [39] P. J. Claringbold, ?Algorithm AS 22. The interaction algorithm,? Appl. Statist.,18, No. 3, 283?287 (1969). [40] B. R. Clarke, ?Algorithm AS 194. An algorithm for testing goodness of fit of ARMA (P, Q) models,? Appl. Statist.,32, No. 3, 335?344 (1983). · Zbl 0538.62079 [41] M. R. B. Clarke, ?Algorithm AS 41. Updating the sample mean and dispersion matrix,? Appl. Statist.,20, No. 2, 206?209 (1971). [42] M. R. B. Clarke, ?Algorithm AS 163. A Given algorithm for moving from one linear model to another without going back to the data,? Appl. Statist.,30, No. 2, 198?203 (1981). [43] M. R. B. Clarke, ?Algorithm AS 178. The Gauss-Jordan sweep operator with detection of collinearity,? Appl. Statist.,31, No. 2, 166?168 (1982). [44] D. G. Clayton, ?Algorithm AS 46. Gram-Schmidt orthogonalization,? Appl. Statist.,20, No. 3, 335?338 (1971). [45] B. E. Cooper, ?Algorithm AS 2. The normal integral,? Appl. Statist.,17, No. 2, 186?188 (1968). [46] B. E. Cooper, ?Algorithm AS 3. The integral of Student’s t-distribution,? Appl. Statist.,17, No. 2, 189?190 (1968). [47] B. E. Cooper, ?Algorithm AS 4. An auxiliary function for distribution integrals,? Appl. Statist.,17, No. 2, 190?192 (1968). [48] B. E. Cooper, ?Algorithm AS 5. The integral of the noncentral t-distribution,? Appl. Statist.,17, No. 2, 193?194 (1968). [49] B. E. Cooper, ?Algorithm AS 10. The use of orthogonal polynomials,? Appl. Statist.,17, No. 3, 283?287 (1968). [50] B. E. Cooper, ?Algorithm AS 42. The use of orthogonal polynomials with equal x-values,? Appl. Statist.,20, No. 2, 209?213 (1971). [51] G. W. Cran, ?Algorithm AS 149. Amalgamation of means in the case of simple ordering,? Appl. Statist.,29, 209?211 (1980). · Zbl 0467.62005 [52] G. W. Cran, ?Algorithm AS 158. Calculation of the probabilities P(?, k) for the simply ordered alternative,? Appl. Statist.,30, No. 1, 85?91 (1981). · Zbl 0477.62060 [53] G. W. Cran, K. J. Martin, and G. E. Thomas, ?Remark AS R 19 and algorithm AS 109. A remark on algorithms AS 63: The incomplete beta integral, AS 64: Inverse of the incomplete beta function ratio,? Appl. Statist.,26, No. 1, 111?114 (1977). [54] S. W. Cunningham, ?Algorithm AS 24. From normal integral to deviate,? Appl. Statist.,18, No. 3, 290?293 (1969). [55] R. B. Davies, ?Algorithm AS 155. The distribution of a linear combination of ?2 random variables,? Appl. Statist.,29, No. 3, 323?333 (1980). · Zbl 0473.62025 [56] C. S. Davis and M. A. Stephens, ?Algorithm AS 128. Approximating the covariance matrix of normal order statistics,? Appl. Statist.,27, No. 2, 206?212 (1978). · Zbl 0438.62040 [57] C. S. Davis and M. A. Stephens, ?Algorithm AS 192. Approximate percentage points using Pearson curves,? Appl. Statist.,32, No. 3, 322?327 (1983). [58] A. M. Dean, ?Algorithm AS 224. Combining comonent designs to form a design with several orthogonal blocking factors,? Appl. Statist.,36, No. 2, 228?234 (1987). · Zbl 0619.62070 [59] R. DerSimonian, ?Algorithm AS 221. Maximum likelihood estimation of a mixing distribution,? Appl. Statist.,35, No. 3, 302?309 (1986). · Zbl 0623.62038 [60] M. E. Dewey, ?Algorithm AS 219. Height balanced trees,? Appl. Statist.,35, No. 2, 220?226 (1986). [61] L. C. Dinneen and B. C. Blakesley, ?Algorithm AS 62. A generator for the sampling distribution of the Mann-Whitney U statistic,? Appl. Statist.,22, No. 2, 269?273 (1973). [62] L. C. Dinneen and B. C. Blakesley, ?Algorithm AS 93. A generator for the null distribution of the Ansari-Bradley W statistic,? Appl. Statist.,25, No. 1, 75?81 (1976). [63] D. Y. Downham, ?Algorithm AS 29. The runs up and down test,? Appl. Statist.,19, No. 2, 190?192 (1970). [64] L. A. Escobar and W. Q. Mekker, Jr., ?Algorithm AS 218. Elements of the Fisher information matrix for the smallest extreme value distribution and censored data,? Appl. Statist.,35, No. 1, 80?86 (1986). · Zbl 0601.62126 [65] R. W. Farebrother, ?Algorithm AS 79. Gram-Schmidt regression,? Appl. Statist.,23, No. 3, 470?476 (1974). [66] R. W. Farebrother, ?Algorithm AS 104. BLUS residuals,? Appl. Statist.,25, No. 3, 317?322 (1976). [67] R. W. Farebrother, ?Algorithm AS 153. Pan’s procedure for the tail probabilities of the Durbin-Watson statistic,? Appl. Statist.,29, No. 2, 224?227 (1980). · Zbl 0475.62044 [68] R. W. Farebrother, ?Algorithm AS 204. The distribution of a positive linear combination of ?2 random variables,? Appl. Statist.,33, No. 3, 332?339 (1984). [69] B. N. Flury and G. Constantine, ?Algorithm AS 211. The F-G diagonalization algorithm,? Appl. Statist.,34, No. 2, 177?183 (1985). [70] A. Francik and J. Ko?cielniak, ?Algorithm AS 186. Fast algorithm of data permutation in discrete fast Fourier transform,? Appl. Statist.,31, No. 3, 327?330 (1982). · Zbl 0498.65064 [71] P. R. Freeman, ?Algorithm AS 26. Ranking an array of numbers,? Appl. Statist.,19, No. 1, 111?113 (1970). [72] P. R. Freeman, ?Algorithm AS 59. Hypergeometric probabilities,? Appl. Statist.,22, No. 1, 130?133 (1973). [73] P. R. Freeman, ?Algorithm AS 145. Exact distribution of the largest multinomial frequency,? Appl. Statist.,28, No. 3, 333?336 (1979). · Zbl 0447.62018 [74] E. L. Frome, ?Algorithm AS 73. Cross-spectrum smoothing via the finite Fourier transform,? Appl. Statist.,23, No. 2, 238?244 (1974). [75] E. L. Frome, ?Algorithm AS 171. Fisher’s exact variance test for the Poisson distribution,? Appl. Statist.,31, No. 1, 67?71 (1982). · Zbl 0506.62018 [76] G. Gardner, A. C. Harvey, and G. D. A. Phillips, ?Algorithm AS 154. An algorithm for exact maximum likelihood estimation of autoregressive-moving average models by means of Kaiman filtering,? Appl. Statist.,29, No. 3, 311?322 (1980). · Zbl 0471.62098 [77] M. J. Garside, ?Algorithm AS 37. Inversion of a symmetric matrix,? Appl. Statist.,20, No. 1, 111?112 (1971). · Zbl 0223.05014 [78] M. J. Garside, ?Algorithm AS 38. Best subset search,? Appl. Statist.,20, No. 1, 112?115 (1971). [79] J. F. Gentleman, ?Algorithm AS 88. Generation ofNCR combinations by simulating nested FORTRAN DO loops,? Appl. Statist.,24, No. 3, 374?376 (1975). [80] J. F. Gentleman, ?Algorithm AS 130. Moving statistics for enhanced scatter plots,? Appl. Statist.,27, No. 3, 354?358 (1978). · Zbl 0437.65112 [81] W. M. Gentleman, ?Algorithm AS 75. Basic procedures for large, sparse or weighted linear least squares problems,? Appl. Statist.,23, No. 3, 448?454 (1974). [82] E. R. Golder, ?Algorithm AS 98. The spectral test for the evaluation of congruential pseudo-random generators,? Appl. Statist.,25, No. 2, 173?180 (1976). [83] J. C. Gower, ?Algorithm AS 1. Simulating multidimensional arrays in one dimension,? Appl. Statist.,17, No. 2, 180?185 (1968). [84] J. C. Gower, ?Algorithm AS 18. Evaluation of marginal means,? Appl. Statist.,18, No. 2, 197?199 (1969). [85] J. C. Gower, ?Algorithm AS 19. Analysis of variance for a factorial table,? Appl. Statist.,18, No. 2, 199?202 (1969). [86] J. C. Gower, ?Algorithm AS 23. Calculation of effects,? Appl. Statist.,18, No. 3, 287?290 (1969). [87] J. C. Gower, ?Algorithm AS 78. The mediancentre,? Appl. Statist.,23, No. 3, 466?470 (1974). [88] J. C. Gower, ?Algorithm AS 82. The determinant of an orthogonal matrix,? Appl. Statist.,24, No. 1, 150?153 (1975). [89] R. G. T. Grafton, ?Algorithm AS 157. The runs-up and runs-down tests,? Appl. Statist.,30, No. 1, 81?85 (1981). · Zbl 0465.65075 [90] P. Griffiths and I. D. Hills (eds.), Applied Statistics Algorithms, Ellis Hoorwood Ltd., Chichester (1985). [91] M. Haber, ?Algorithm AS 207. Fitting general log-linear model,? Appl. Statist.,33, No. 3, 358?362 (1984). [92] S. J. Haberman, ?Algorithm AS 51. Log-linear fit for contingency tables,? Appl. Statist.,22, No. 1, 118?126 (1973). [93] S. J. Haberman, ?Algorithm AS 57. Pritning multidimensional tables,? Appl. Statist.,22, No. 1, 118?126 (1973). [94] W. Härdle, ?Algorithm AS 222. Resistant smoothing using the fast Fourier transform,? Appl. Statist.,36, No. 1, 104?111 (1987). · Zbl 0613.62053 [95] J. A. Hartigan and M. A. Wong, ?Algorithm AS 136. A K-means clustering algorithm,? Appl. Statist.,28, No. 1, 100?108 (1978). · Zbl 0447.62062 [96] P. M. Hartigan, ?Algorithm AS 217. Computation of the dip statistic to test for unimodality,? Appl. Statist.,34, No. 3, 320?325 (1985). [97] A. C. Harvey and C. R. McKenzie, ?Algorithm AS 182. Finite sample prediction from ARIMA processes,? Appl. Statist.,31, No. 2, 180?187 (1982). [98] D. M. Hawkins, ?Algorithm AS 72. Computing mean vectors and dispersion matrices in multivariate analysis of variance,? Appl. Statist.,23, No. 2, 234?238 (1974). [99] M. J. R. Healy, ?Algorithm AS 6. Triangular decomposition of a symmetric matrix,? Appl. Statist.,17, No. 2, 195?197 (1968). [100] M. J. R. Healy, ?Algorithm As 7. Inversion of a positive semi-definite symmetric matrix,? Appl. Statist.,17, No. 2, 198?199 (1968). [101] M. J. R. Healy, ?Algorithm AS 180. A linear estimator of standard deviation in symmetrically trimmed normal samples,? Appl. Statist.,31, No. 2, 174?175 (1982). [102] R. M. Heiberger, ?Algorithm AS 127. Generation of random orthogonal matrices,? Appl. Statist.,27, No. 2, 199?206 (1978). · Zbl 0433.65006 [103] C. Herraman, ?Algorithm AS 11. Normalizing a symmetric matrix,? Appl. Statist.,17, No. 3, 287?288 (1968). [104] C. Herraman, ?Algorithm AS 12. Sum of squares and products matrix,? Appl. Statist.,17, No. 3, 289?292 (1968). [105] M. A. Hidiroglou and G. B. Gray, ?Algorithm AS 146. Construction of joint probability of selection for symmetric p.p.c. sampling,? Appl. Statist.,29, No. 1, 107?112 (1980). · Zbl 0449.62008 [106] I. D. Hill, ?Algorithm AS 31. Operating characteristic and average sample size for binomial sequential sampling,? Appl. Statist.,19, No. 2, 197?203 (1970). [107] I. D. Hill, ?Algorithm AS 39. Arrays with a variable number of dimensions,? Appl. Statist.,20, No. 1, 115?117 (1971). [108] I. D. Hill, ?Algorithm AS 66. The normal integral,? Appl. Statist.,22, No. 3, 424?427 (1973). [109] I. D. Hill, ?Algorithm AS 100. Normal-Johnson and Johnson-normal transformations,? Appl. Statist.,25, No. 2, 190?192 (1976). [110] I. D. Hill, R. Hill, and R. L. Holder, ?Algorithm AS 99. Fitting Johnson curves by moments,? Appl. Statist.,25, No. 2, 180?189 (1976). [111] I. D. Hill and R. Peto, ?Algorithm AS 35. Probabilities derived from finite populations,? Appl. Statist.,20, No. 1, 99?105 (1971). [112] T. R. Hopkins, ?Algorithm AS 193. A revised algorithm for the spectral test,? Appl. Statist.,32, No. 3, 328?335 (1983). · Zbl 0526.65006 [113] T. R. Hopkins, P. H. Welch, and J. Köllerström, ?Algorithm AS 188. Estimation of the order of dependence in sequences,? Appl. Statist.,32, No. 2, 185?196 (1983). · Zbl 0548.62006 [114] J. R. M. Hosking, ?Algorithm AS 215. Maximum-likelihood estimation of the parameters of the generalized extreme-value distribution,? Appl. Statist.,34, No. 3, 301?310 (1985). [115] B. Jones, ?Algorithm AS 156. Combining two component designs to form a row-and-column design,? Appl. Statist.,29, No. 3, 334?337 (1980). [116] P. Kent, ?Algorithm AS 141. Inversion of a symmetric matrix in regression models,? Appl. Statist.,28, No. 2, 214?217 (1979). [117] M. D. Krailo and M. C. Pike, ?Algorithm AS 196. Conditional multivariate logistic analysis of stratified case-control studies,? Appl. Statist.,33, No. 1, 95?103 (1984). [118] W. J. Krzanowski, ?Algorithm AS 28. Transposing multiway structures,? Appl. Statist.,19, No. 1, 115?118 (1970). [119] S. W. Lagakos and M. H. Kuhns, ?Algorithm AS 125. Maximum likelihood estimation for censored exponential survival data with covariates,? Appl. Statist.,27, No. 2, 190?197 (1978). · Zbl 0437.62093 [120] V. K. Lagoo, ?Algorithm AS 25. Classification of means from analysis of variance,? Appl. Statist.,18, No. 3, 294?298 (1969). [121] D. P. Laurie, ?Algorithm AS 175. Cramér-Wold factorization,? Appl. Statist.,31, No. 1, 86?93 (1982). · Zbl 0505.62081 [122] B. L. Leathers, ?Algorithm AS 114. Computing the numerator of association when the data are ordered categories,? Appl. Statist.,26, No. 2, 211?213 (1977). [123] B. L. Leathers, ?Algorithm AS 119. Tabulating sparse joint frequency distributions,? Appl. Statist.,26, No. 3, 364?368 (1977). [124] B. L. Leathers, ?Algorithm AS 131. Tabulating frequency distributions for variables with structured code sets,? Appl. Statist.,27, No. 3, 359?362 (1978). · Zbl 0438.62089 [125] Tze-San Lee, ?Algorithm AS 223. Optimum ridge parameter selection,? Appl. Statist.,36, No. 1, 112?118 (1987). · Zbl 0613.62092 [126] F. B. Leech, ?Algorithm AS 33. Calculation of hypergeometric sample sizes,? Appl. Statist.,19, No. 3, 287?289 (1970). [127] R. V. Lenth, ?Algorithm AS 226. Computing of hypergeometric sample sizes,? Appl. Statist.,36, No. 2, 241?244 (1987). · Zbl 0617.62025 [128] B. Leventhal, ?Algorithm AS 107. Operating characteristics and average sampling number for a general class of sequential sampling plans,? Appl. Statist.,26, No. 1, 98?106 (1977). [129] P. Lin Shang, ?Algorithm AS 185. Automatic model selection in contingency tables,? Appl. Statist.,31, No. 3, 317?326 (1982). · Zbl 0506.62039 [130] P. Lin Shang and R. B. Bendel, ?Algorithm AS 213. Generation of population correlation matrices with specified eigenvalues,? Appl. Statist.,34, No. 2, 193?198 (1985). [131] R. E. Lund, ?Algorithm AS 152. Cumulative hypergeometric probabilities,? Appl. Statist.,29, No. 2, 221?223 (1980). [132] R. E. Lund and J. R. Lund, ?Algorithm AS 190. Probabilities and upper quantiles for the Studentized range,? Appl. Statist.,32, No. 2, 204?210 (1983). [133] E. D. Lustbader and R. K. Stodola, ?Algorithm AS 160. Partial and marginal association in multidimensional contingence tables,? Appl. Statist.,30, No. 1, 97?105 (1981). · Zbl 0467.62049 [134] R. R. Macdonald, ?Algorithm AS 201. Combined significance test of differences between conditions and ordinal predictions,? Appl. Statist.,33, No. 2, 245?248 (1984). [135] G. MacKezie and M. O’Flaherty, ?Algorithm AS 173. Direct design matrix generation for balanced factorial experiments,? Appl. Statist.,31, No. 1, 74?80 (1982). · Zbl 0506.62060 [136] K. L. Majunder and G. P. Bhattacharjee, ?Algorithm AS 63. The incomplete beta integral,? Appl. Statist.,22, No. 3, 409?411 (1973). [137] K. L. Majunder and G. P. Bhattacharjee, ?Algorithm AS 64. Inverse of the incomplete beta function ratio,? Appl. Statist.,22, No. 3, 411?414 (1973). [138] K. V. Mardia and P. J. Zemroch, ?Algorithm AS 80. Spherical statistics,? Appl. Statist.,24, No. 1, 144?146 (1975). [139] K. V. Mardia and P. J. Zemroch, ?Algorithm AS 81. Circular statistics,? Appl. Statist.,24, No. 1, 147?150 (1975). [140] K. V. Mardia and P. J. Zemroch, ?Algorithm AS 84. Measures of multivariate skewness and kurtosis,? Appl. Statist.,24, No. 2, 262?265 (1975). [141] K. V. Mardia and P. J. Zemroch, ?Algorithm AS 86. The von Mises distribution function,? Appl. Statist.,24, No. 2, 267?272 (1975). [142] N. W. A. Marsh, ?Algorithm AS 227. Efficient generation of all binary patterns by Gray counting,? Appl. Statist.,36, No. 2, 245?249 (1987). [143] E. O. Martinson and M. A. Hamdan, ?Algorithm AS 87. Calculation of the polychoric estimate of correlation in contingency tables,? Appl. Statist.,24, No. 2, 272?278 (1975). [144] N. S. Matloff, ?Algorithm AS 148. The jacknife,? Appl. Statist.,29, No. 1, 115?117 (1980). · Zbl 0432.62001 [145] L. L. McDonald and H. R. Bauer, III, ?Algorithm AS 161. Critical regions of an unconditional nonrandomized test of homogeneity in 2{\(\times\)}2 contingency tables,? Appl. Statist.,30, No. 2, 182?189 (1981). · Zbl 0469.62042 [146] C. A. McGilchrist, ?Algorithm AS 34. Sequential inversion of band matrices,? Appl. Statist.,19, No. 3, 290?292 (1970). [147] M. L. McLaren, ?Algorithm AS 94. Coefficients of the zonal polynomials, Appl. Statist.,25, No. 1, 82?87 (1976). [148] A. I. McLeod and P. R. H. Sales, ?Algorithm AS 191. An algorithm for approximate likelihood calculation of ARMA and seasonal ARMA models,? Appl. Statist.,32, No. 2, 211?223 (1983). [149] K. McPherson, ?Algorithm AS 67. The evaluation of absorption probabilities in sequential binomial sampling,? Appl. Statist.,23, No. 1, 83?86 (1974). [150] G. Mélard, ?Algorithm AS 197. A fast algorithm for the exact likelihood of autore-gressive-moving average models,? Appl. Statist.,33, No. 1, 104?114 (1984). · Zbl 0548.65098 [151] D. M. Monro, ?Algorithm AS 83. Complex discrete fast Fourier transform,? Appl. Statist.,24, No. 1, 153?160 (1975). [152] D. M. Monro, ?Algorithm AS 97. Real discrete fast Fourier transform,? Appl. Statist.,25, No. 2, 166?172 (1976). [153] D. M. Monro and J. L. Branch, ?Algorithm AS 117. The Chirp discrete Fourier transform of general length,? Appl. Statist.,26, No. 3, 351?361 (1977). [154] R. J. Moore, ?Algorithm AS 187. Derivatives of the incomplete gamma integral,? Appl. Statist.,31, No. 3, 330?335 (1982). · Zbl 0498.65007 [155] S. C. Narula and M. M. Desu, ?Algorithm AS 101. Distribution-free confidence intervals,? Appl. Statist.,25, No. 3, 309?312 (1976). [156] S. C. Narula and M. M. Desu, ?Algorithm AS 170. Omputation of probability and non-centrality parameter of a noncentral chi-squared distribution,? Appl. Statist.,30, No. 3, 349?352 (1981). [157] S. C. Narula and J. F. Wellington, ?Algorithm AS 108. Multiple linear regression with minimum sum of absolute errors,? Appl. Statist.,26, No. 1, 106?111 (1977). [158] H. R. Neave, ?Algorithm AS 124. Sample sizes for one-sided and strong two-sided distribution-free tolerance limits,? Appl. Statist.,27, No. 2, 188?189 (1978). [159] J. A. Neider, ?Algorithm AS 8. Main effects from a multiway table,? Appl. Statist.,17, No. 3, 277?279 (1968). [160] J. A. Neider, ?Algorithm AS 9. Construction of additive table,? Appl. Statist.,17, No. 3, 279?283 (1968). [161] J. A. Neider, ?Algorithm AS 20. The coefficient formation of a triangular array with restricted storage data,? Appl. Statist.,18, No. 2, 203?206 (1969). [162] J. A. Neider, ?Algorithm AS 96. A simple algorithm for scaling graphs,? Appl. Statist.,25, No. 1, 94?96 (1976). [163] M. O’Flaherty and G. MacKenzie, ?Algorithm AS 172. Direct simulation of nested FORTRAN DO-LOOPS,? Appl. Statist.,31, No. 1, 71?74 (1982). [164] R. O’Neill, ?Algorithm AS 47. Function minimization using a simplex procedure,? Appl. Statist.,20, No. 3, 338?345 (1971). [165] R. E. Odeh, ?Algorithm AS 55. The generalized Mann-Whitney U-statistic,? Appl. Statist.,21, No. 3, 348?351 (1972). [166] R. E. Odeh and J. O. Evans, ?Algorithm AS 70. The percentage points of the normal distribution,? Appl. Statist.,23, No. 1, 96?97 (1974). [167] G. W. Oehlert, ?Algorithm AS 140. Clustering the nodes of a directed graph,? Appl. Statist.,28, No. 2, 206?214 (1979). · Zbl 0447.62063 [168] M. Panneton and P. Robillard, ?Algorithm AS 54. Kendall’s S frequency distribution,? Appl. Statist.,21, No. 3, 345?348 (1972). [169] W. M. Patefield, ?Algorithm AS 159. An efficient method of generating random R{\(\times\)}C tables with given row and column totals,? Appl. Statist.,30, No. 1, 91?97 (1981). · Zbl 0467.62050 [170] R. Peto, ?Algorithm AS 56. Permutational significance testing,? Appl. Statist.,22, No. 1, 112?118 (1973). [171] J. P. N. Phillips, ?Algorithm AS 48. Uncertainty function for a binary sequence,? Appl. Statist.,21, No. 1, 97?99 (1972). [172] J. P. N. Phillips, ?Algorithm AS 49. Autocorrelation function for a binary sequence,? Appl. Statist.,21, No. 1, 100?103 (1972). [173] M. C. Pike and D. Bull, ?Algorithm AS 69. Knox test for space-time clustering in epidemiology,? Appl. Statist.,23, No. 1, 92?95 (1974). [174] C. Pillers, T. Robertson, and F. T. Wright, ?Algorithm As 198. The level probabilities of order restricted inference,? Appl. Statist.,33, No. 1, 115?119 (1984). [175] B. D. Ripley, ?Algorithm AS 137. Simulating spatial patterns: Dependent samples from a multivariate density,? Appl. Statist.,28, No. 1, 109?112 (1979). [176] S. J. Roberts, ?Algorithm AS 199. A branch and bound algorithm for determining the optimal feature subset of given size,? Appl. Statist.,33, No. 2, 236?241 (1984). [177] J. H. Roger, ?Algorithm AS 40. Updating a minimum spanning tree,? Appl. Statist.,20, No. 2, 204?206 (1971). [178] G. E. Rogers, ?Algorithm AS 65. Interpreting structure formulae,? Appl. Statist.,22, No. 3, 414?424 (1973). [179] G. J. S. Ross, ?Algorithm AS 13. Minimum spanning tree,? Appl. Statist.,18, No. 1, 103?104 (1969). [180] G. J. S. Ross, ?Algorithm AS 14. Printing the minimum spanning tree,? Appl. Statist.,18, No. 1, 105?106 (1969). [181] G. J. S. Ross, ?Algorithm AS 15. Single linkage cluster analysis,? Appl. Statist.,18, No. 1, 106?110 (1969). [182] J. P. Royston, ?Algorithm AS 177. Expected normal order statistics (exact and approximate),? Appl. Statist.,31, No. 2, 161?165 (1982). [183] J. P. Royston, ?Algorithm AS 181. The W-test for normality,? Appl. Statist.,31, No. 2, 176?180 (1982). [184] J. P. Royston, ?Algorithm AS 209. The distribution function of skewness and kurtosis,? Appl. Statist.,34, No. 1, 87?94 (1985). [185] J. P. Royston, J. B. Webb, P. Griffiths, and I. D. Hill, ?The construction and description of algorithms,? Appl. Statist.,36, No. 1, 94?103 (1987). [186] D. B. Rubin, T. W. F. Stroud, and D. Thayer, ?Algorithm AS 120. A FORTRAN algorithm for the additive model in two-way unbalanced MANOVA,? Appl. Statist.,27. No. 1, 92?97 (1978). · Zbl 0436.62005 [187] A. N. Sadovski, ?Algorithm AS 74. L1-norma fit of a straight line,? Appl. Statist.,23, No. 2, 244?248 (1974). [188] I. W. Saunders, ?Algorithm AS 205. Enumeration of R{\(\times\)}C tables with repeated row totals,? Appl. Statist.,33, No. 3, 340?352 (1984). [189] M. J. Schervish, ?Algorithm AS 195. Multivariate normal probabilities with error bound,? Appl. Statist.,33, No. 1, 81?94 (1984). · Zbl 0547.65097 [190] B. E. Schneider, ?Algorithm AS 121. Trigamma function,? Appl. Statist.,27, No. 1, 97?99 (1978). [191] Neil C. Schwertman, ?Algorithm AS 174. Multivariate multisample nonparametric test,? Appl. Statist.,31, No. 1, 80?85 (1982). · Zbl 0506.62029 [192] J. Sheil and I. O’Muircheartaigh, ?Algorithm AS 106. The distribution of nonnegative quadratic forms in normal variables,? Appl. Statist.,26, No. 1, 92?98 (1977). [193] B. W. Silverman, ?Algorithm AS 176. Kernel density estimation using the fast Fourier transform,? Appl. Statist.,31, No. 1, 93?99 (1982). · Zbl 0483.62032 [194] D. M. Smith, ?Algorithm AS 189. Maximum likelihood estimation of the parameters of the beta binomial distribution,? Appl. Statist.,32, No. 2, 196?204 (1983). [195] P. G. Smith, M. C. Pike, A. P. Hill, M. E. Breslow, and N. E. Day, ?Algorithm AS 162. Multivariate conditional logistic analysis of stratum-matched case-control studies,? Appl. Statist.,30, No. 2, 190?197 (1981). · Zbl 0468.62093 [196] W. B. Smith and R. R. Hocking, ?Algorithm AS 53. Wishart variate generator,? Appl. Statist.,21, No. 3, 341?345 (1972). [197] D. N. Sparks, ?Algorithm AS 30. Half normal plotting,? Appl. Statist.,19, No. 2, 192?196 (1970). [198] D. N. Sparks, ?Algorithm AS 44. Scatter diagram plotting,? Appl. Statist.,20, No. 3, 327?331 (1971). [199] D. N. Sparks, ?Algorithm AS 45. Histogram plotting,? Appl. Statist.,20, No. 3, 332?335 (1971). [200] D. N. Sparks, ?Algorithm AS 58. Euclidean cluster analysis,? Appl. Statist.,22, No. 1, 126?130 (1973). [201] D. N. Sparks and A. D. Todd, ?Algorithm AS 60. Latent roots and vectors of symmetric matrix,? Appl. Statist.,22, No. 2, 260?265 (1973). [202] C. C. Spicer, ?Algorithm AS 52. Calculation of power sums of deviations about the mean,? Appl. Statist.,21, No. 2, 226?227 (1972). [203] V. A. Sposito, W. J. Kennedy, and J. E. Gentle, ?Algorithm AS 110. Lp norm fit of a straight line,? Appl. Statist.,26, No. 1, 114?118 (1977). [204] W. D. Stirling, ?Algorithm AS 164. Least squares subject to linear constraints,? Appl. Statist.,30, No. 2, 204?212 (1981). · Zbl 0468.62062 [205] W. D. Stirling, ?Algorithm AS 168. Scale selection and formating,? Appl. Statist.,30, No. 3, 339?344 (1981). [206] W. D. Stirling, ?Algorithm AS 169. An improved algorithm for scatter plots,? Appl. Statist.,30, No. 3, 345?349 (1981). [207] W. D. Stirling, ?Algorithm AS 212. Fitting the exponential curve by least squares,? Appl. Statist.,34, No. 2, 182?192 (1985). [208] W. D. Stirling, ?Algorithm AS 216. Fitting models with a linear part and auxiliary parameters,? Appl. Statist.,34, No. 3, 310?319 (1985). [209] E. Sturt, ?Algorithm AS 165. An algorithm to construct a discriminant function in FORTRAN for categorical data,? Appl. Statist.,30, No. 3, 313?325 (1981). · Zbl 0478.62049 [210] A. V. Swan, ?Algorithm AS 16. Maximum likelihood estimation from grouped and censored normal data,? Appl. Statist.,18, No. 1, 110?114 (1969). [211] A. V. Swan, ?Algorithm AS 17. The reciprocal of Mills’ ratio,? Appl. Statist.,18, No. 1, 115?116 (1969). [212] M. A. Tanner, ?Algorithm AS 202. Data-based non-parametric hazard estimation,? Appl. Statist.,33, No. 2, 248?258 (1984). · Zbl 0561.62036 [213] G. A. P. Taylor, ?Algorithm AS 27. The integral of Student’s t-distribution,? Appl. Statist.,19, No. 1, 113?114 (1970). [214] R. P. Thayer and R. F. Storer, ?Algorithm AS 21. Scale selection for computer plots,? Appl. Statist.,18, No. 2, 206?208 (1969). [215] D. G. Thomas, ?Algorithm AS 36. Exact confidence limits for the odds ratio in a 2{\(\times\)}2 table,? Appl. Statist.,20, No. 1, 105?110 (1971). [216] D. G. Thomas, ?Algorithm AS 50. Tests of fit for a one-hit vs. two-hit curve,? Appl. Statist.,21, No. 1, 103?112 (1972). [217] W. N. Venables, ?Algorithm As 77. Null distribution of the largest root statistic,? Appl. Statist.,23, No. 3, 458?465 (1974). [218] N. Wermuth and E. Scheldt, ?Algorithm AS 105. Fitting a covariance selection model to a matrix,? Appl. Statist.,26, No. 1, 88?92 (1977). [219] B. Westcott, ?Algorithm AS 118. Approximate rankits,? Appl. Statist.,26, No. 3, 362?364 (1977). [220] B. A. Wichmann and I. D. Hill, ?Algorithm AS 183. An efficient and portable pseudorandom number generator,? Appl. Statist.,31, No. 2, 188?190 (1982). [221] P. C. Wollan, ?Algorithm AS 225. Minimizing linear inequality constrained Machalanobis distances,? Appl. Statist.,36, No. 2, 234?240 (1987). · Zbl 0617.62082 [222] M. S. Wolynetz, ?Algorithm AS 138. Maximum likelihood estimation from confined and censored normal data,? Appl. Statist.,28, No. 2, 185?195 (1979). · Zbl 0447.62034 [223] M. S. Wolynetz, ?Algorithm AS 139. Maximum likelihood estimation in a linear model from confined and censored normal data,? Appl. Statist.,28, No. 2, 195?206 (1979). · Zbl 0447.62035 [224] Working Party on Statistical Computing, ?The construction and description of algorithms,? Appl. Statist.,17, No. 2, 175?179 (1968). [225] Working Party on Statistical Computing, ?The construction and description of algorithms,? Appl. Statist.,24, No. 3, 366?373 (1975). [226] Working Party on Statistical Computing, ?The construction and description of algorithms,? Appl. Statist.,28, No. 3, 311?318 (1979). [227] G. Wyshak, ?Algorithm AS 68. A program for estimating the parameters of the truncated negative binomial distribution,? Appl. Statist.,23, No. 1, 87?91 (1974). [228] F. Yates, ?Algorithm AS 43. Variable format in FORTRAN,? Appl. Statist.,20, No. 2, 213?216 (1971). [229] J. C. Young and C. E. Minder, ?Algorithm AS 76. An integral useful in calculating noncentral t and bivariate normal probabilities,? Appl. Statist.,23, No. 3, 455?457 (1974). [230] P. J. Zemroch, ?Algorithm AS 166. Generation of polynomial contrasts for incomplete factorial designs with quantitative levels,? Appl. Statist.,30, No. 3, 325?333 (1981). · Zbl 0478.62061 [231] P. J. Zemroch, ?Algorithm AS 167. Screening algorithm for experimental designs with quantitative levels,? Appl. Statist.,30, No. 3, 334?339 (1981). · Zbl 0478.62062 [232] A. Zilinskas, ?Algorithm AS 133. Optimization of one-dimensional multimodal functions,? Appl. Statist.,27, No. 3, 367?375 (1978). · Zbl 0442.93059 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.