Mathai, A. M. An overview of recent developments in functions of matrix argument. (English) Zbl 07926998 J. Ramanujan Soc. Math. Math. Sci. 11, No. 2, 1-38 (2024). Reviewer: Ctirad Matonoha (Praha) MSC: 15A15 15B48 15B52 15B57 26A33 33B15 44A35 62E10 62E15 62F15 × Cite Format Result Cite Review PDF Full Text: DOI
Mathai, A. M. A general mathematical and statistical model. (English) Zbl 1454.62159 J. Ramanujan Soc. Math. Math. Sci. 7, No. 1, 37-52 (2019). MSC: 62H10 62E15 60E05 × Cite Format Result Cite Review PDF Full Text: Link
Hermon, Jonathan; Peres, Yuval A characterization of \(L_{2}\) mixing and hypercontractivity via hitting times and maximal inequalities. (English) Zbl 1403.60067 Probab. Theory Relat. Fields 170, No. 3-4, 769-800 (2018). Reviewer: Alex V. Kolnogorov (Novgorod) MSC: 60J27 60J10 05C81 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Naik, Shanoja R.; Haubold, Hans J. On the \(q\)-Laplace transform and related special functions. (English) Zbl 1422.44001 Axioms 5, No. 3, Paper No. 24, 16 p. (2016). MSC: 44A20 33D05 × Cite Format Result Cite Review PDF Full Text: DOI
Luchko, Yuri Entropy production rate of a one-dimensional alpha-fractional diffusion process. (English) Zbl 1415.35283 Axioms 5, No. 1, Paper No. 6, 11 p. (2016). MSC: 35R11 35E05 35L05 45K05 × Cite Format Result Cite Review PDF Full Text: DOI
Sebastian, Nicy; Nair, Seema S.; Joseph, Dhannya P. An overview of the pathway idea and its applications in statistical and physical sciences. (English) Zbl 1369.62031 Axioms 4, No. 4, 530-553 (2015). MSC: 62E15 62H05 82B31 62P35 94A17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mathai, Arak M.; Haubold, Hans J. On a generalized entropy measure leading to the pathway model with a preliminary application to solar neutrino data. (English) Zbl 1391.94587 Entropy 15, No. 10, 4011-4025 (2013). MSC: 94A17 62E15 82B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vonta, Filia; Mattheou, Kyriacos; Karagrigoriou, Alex On properties of the \((\Phi , a)\)-power divergence family with applications in goodness of fit tests. (English) Zbl 1303.62017 Methodol. Comput. Appl. Probab. 14, No. 2, 335-356 (2012). MSC: 62B10 62F03 94A17 × Cite Format Result Cite Review PDF Full Text: DOI
Mathai, A. M.; Haubold, H. J. Matrix-variate statistical distributions and fractional calculus. (English) Zbl 1273.15041 Fract. Calc. Appl. Anal. 14, No. 1, 138-155 (2011). MSC: 15B52 62E15 15A15 26A33 33C60 33E12 44A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Sachlas, Athanasios; Papaioannou, Takis Divergences without probability vectors and their applications. (English) Zbl 1226.62002 Appl. Stoch. Models Bus. Ind. 26, No. 4, 448-472 (2010). MSC: 62B10 62P05 × Cite Format Result Cite Review PDF Full Text: DOI
Kumon, Masayuki Studies of information quantities and information geometry of higher order cumulant spaces. (English) Zbl 1230.62005 Stat. Methodol. 7, No. 2, 152-172 (2010). MSC: 62B10 62M10 53B20 93B30 × Cite Format Result Cite Review PDF Full Text: DOI
Rao, C. R. Quadratic entropy and analysis of diversity. (English) Zbl 1209.62155 Sankhyā, Ser. A 72, No. 1, 70-80 (2010). MSC: 62J10 62B10 × Cite Format Result Cite Review PDF Full Text: DOI
Bronevich, Andrey; Klir, George J. Measures of uncertainty for imprecise probabilities: an axiomatic approach. (English) Zbl 1205.68418 Int. J. Approx. Reasoning 51, No. 4, 365-390 (2010). MSC: 68T37 × Cite Format Result Cite Review PDF Full Text: DOI
Bercher, J.-F.; Vignat, C. On minimum Fisher information distributions with restricted support and fixed variance. (English) Zbl 1180.62013 Inf. Sci. 179, No. 22, 3832-3842 (2009). MSC: 62B10 62F10 62A01 34A99 × Cite Format Result Cite Review PDF Full Text: DOI
Mathai, A. M.; Haubold, H. J. On generalized distributions and pathways. (English) Zbl 1220.62167 Phys. Lett., A 372, No. 12, 2109-2113 (2008). MSC: 62P35 62B10 82B03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Borzadaran Mohtashami, G.; Yari, G. H.; Pasha, E. Information measures for some well-known families. (English) Zbl 1109.62001 Commun. Stat., Theory Methods 36, No. 4, 669-677 (2007). MSC: 62B10 62E10 × Cite Format Result Cite Review PDF Full Text: DOI
Toussaint, Godfried A comparison of rhythmic dissimilarity measures. (English) Zbl 1474.00008 Forma 21, No. 2, 129-149 (2006). MSC: 00A65 05A05 05C05 × Cite Format Result Cite Review PDF
Gilardoni, Gustavo L. Accuracy of posterior approximations via \(\chi^2\) and harmonic divergences. (English) Zbl 1098.62029 J. Stat. Plann. Inference 128, No. 2, 475-487 (2005). MSC: 62F15 65C40 × Cite Format Result Cite Review PDF Full Text: DOI
Mair, B. A.; Rao, Murali; Anderson, J. M. M. A minimum chi-squared method for indirect parameter estimation from Poisson data. (English) Zbl 1076.62513 Stat. Neerl. 56, No. 2, 165-178 (2002). MSC: 62F10 62B10 62M99 65C60 × Cite Format Result Cite Review PDF Full Text: DOI
Mayoral, M. M. Renyi’s entropy as an index of diversity in simple-stage cluster sampling. (English) Zbl 1042.62505 Inf. Sci. 105, No. 1-4, 101-114 (1998). MSC: 62B10 62P99 × Cite Format Result Cite Review PDF Full Text: DOI
Nambiar, K. K.; Varma, Pramod K.; Saroch, Vandana An axiomatic definition of Shannon’s entropy. (English) Zbl 0758.94003 Appl. Math. Lett. 5, No. 4, 45-46 (1992). MSC: 94A17 × Cite Format Result Cite Review PDF Full Text: DOI
Gil, María Angeles; Gil, Pedro Fuzziness in the experimental outcomes: comparing experiments and removing the loss of information. (English) Zbl 0758.62007 J. Stat. Plann. Inference 31, No. 1, 93-111 (1992). Reviewer: Leandro Pardo (Madrid) MSC: 62B10 62B15 62A86 94A15 × Cite Format Result Cite Review PDF Full Text: DOI
Klir, George J. Generalized information theory. (English) Zbl 0721.94002 Fuzzy Sets Syst. 40, No. 1, 127-142 (1991). MSC: 94A15 94D05 × Cite Format Result Cite Review PDF Full Text: DOI
Kvålseth, T. O. The relative useful information measure: Some comments. (English) Zbl 0716.94004 Inf. Sci. 56, No. 1-3, 35-38 (1991). MSC: 94A17 × Cite Format Result Cite Review PDF Full Text: DOI
Ramer, Arthur Possibilistic information metrics and distances: Characterizations of structure. (English) Zbl 0726.94002 Int. J. Gen. Syst. 18, No. 1, 1-10 (1990). MSC: 94A17 × Cite Format Result Cite Review PDF Full Text: DOI
Ramer, Arthur Structure of possibilistic information metrics and distances: properties. (English) Zbl 0703.94002 Int. J. Gen. Syst. 17, No. 1, 21-32 (1990). MSC: 94A17 94D05 × Cite Format Result Cite Review PDF Full Text: DOI
Ramer, Arthur Axioms of uncertainty measures: Dependence and independence. (English) Zbl 0696.94028 Fuzzy Sets Syst. 35, No. 2, 185-196 (1990). MSC: 94D05 × Cite Format Result Cite Review PDF Full Text: DOI
Caso, Covadonga; Angeles Gil, María Estimating income inequality in the stratified sampling from complete data. I: The unbiased estimation and applications. (English) Zbl 0682.62086 Kybernetika 25, No. 4, 298-311 (1989). MSC: 62P20 × Cite Format Result Cite Review PDF Full Text: EuDML Link
Ramer, Arthur Confluent possibility distributions and their representations. (English) Zbl 0679.94006 Int. J. Gen. Syst. 15, No. 3, 217-231 (1989). MSC: 94A17 94D05 × Cite Format Result Cite Review PDF Full Text: DOI
Gil, María Angeles; Gil, Pedro On some information measures of degree \(\beta =2:\) Estimation in simple- stage cluster sampling. (English) Zbl 0677.62008 Stat. Probab. Lett. 8, No. 2, 157-162 (1989). MSC: 62D05 × Cite Format Result Cite Review PDF Full Text: DOI
Gil, M. Angeles; Gil, Pedro On the sample size for random experiments with fuzzy unprecision. (Spanish. English summary) Zbl 0731.62018 Trab. Estad. 3, No. 1, 33-53 (1988). MSC: 62B10 94A17 94D05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Caso, Covadonga; Gil, Maria Angeles The Gini-Simpson index of diversity: Estimation in the stratified sampling. (English) Zbl 0696.62018 Commun. Stat., Theory Methods 17, No. 9, 2981-2995 (1988). MSC: 62D05 62F10 × Cite Format Result Cite Review PDF Full Text: DOI
Gil, María Angeles On the loss of information due to fuzziness in experimental observations. (English) Zbl 0692.62004 Ann. Inst. Stat. Math. 40, No. 4, 627-639 (1988). Reviewer: L.Pardo MSC: 62B10 94A17 × Cite Format Result Cite Review PDF Full Text: DOI
Gil, M. A.; Casals, M. R. An operative extension of the likelihood ratio test from fuzzy data. (English) Zbl 0671.62036 Stat. Hefte 29, No. 3, 191-203 (1988). Reviewer: Yinsheng Qu MSC: 62F99 62F03 × Cite Format Result Cite Review PDF Full Text: DOI
Gil, M. A.; Corral, N.; Gil, P. The minimum inaccuracy estimates in \(\chi ^ 2\) tests for goodness of fit with fuzzy observations. (English) Zbl 0665.62009 J. Stat. Plann. Inference 19, No. 1, 95-115 (1988). Reviewer: E.N.Bouza MSC: 62B10 62G10 62F10 94D05 × Cite Format Result Cite Review PDF Full Text: DOI
Klir, George J. Where do we stand on measures of uncertainty, ambiguity, fuzziness, and the like? (English) Zbl 0633.94026 Fuzzy Sets Syst. 24, 141-160 (1987). Reviewer: W.Pedrycz MSC: 94D05 × Cite Format Result Cite Review PDF Full Text: DOI
Gil, Maria Angeles; Perez, Rigoberto; Gil, Pedro The mutual information. Estimation in the sampling without replacement. (English) Zbl 0633.62010 Kybernetika 23, 407-419 (1987). Reviewer: Maria Angeles Gil MSC: 62D05 62B10 94A17 × Cite Format Result Cite Review PDF Full Text: EuDML
Klir, George J.; Mariano, Matthew On the uniqueness of possibilistic measure of uncertainty and information. (English) Zbl 0632.94039 Fuzzy Sets Syst. 24, 197-219 (1987). Reviewer: H.N.Teodorescu MSC: 94D05 94A17 × Cite Format Result Cite Review PDF Full Text: DOI
Gil, M. A.; Corral, N. The minimum inaccuracy principle in estimating population parameters from grouped data. (English) Zbl 0613.62038 Kybernetes 16, 43-49 (1987). MSC: 62F10 62F99 × Cite Format Result Cite Review PDF Full Text: DOI
Capocelli, Renato M.; Taneja, Inder Jeet On some inequalities and generalized entropies: A unified approach. (English) Zbl 0596.94005 Cybern. Syst. 16, 341-376 (1985). Reviewer: W.Sander MSC: 94A17 26B25 × Cite Format Result Cite Review PDF Full Text: DOI
Arora, P. N.; Chowdhary, Subhash Directed divergence and cyclic symmetry. (English) Zbl 0549.94012 Cybern. Syst. 15, 127-144 (1984). MSC: 94A17 × Cite Format Result Cite Review PDF Full Text: DOI
Arora, P. N.; Chowdhary, Subhash Generalised directed divergence without symmetry. (English) Zbl 0544.94011 Kybernetika 20, 147-158 (1984). Reviewer: Pl.Kannappan MSC: 94A17 × Cite Format Result Cite Review PDF Full Text: EuDML
Kapur, J. N. A comparative assessment of various measures of entropy. (English) Zbl 0524.94007 J. Inf. Optim. Sci. 4, 207-232 (1983). MSC: 94A17 × Cite Format Result Cite Review PDF Full Text: DOI
Theodorescu, A. Energie informationnelle et notions apparentees. (French) Zbl 0437.94001 Trab. Estad. Invest. Oper. 28, No. 2-3, 183-206 (1977). MSC: 94A17 94A15 62P30 × Cite Format Result Cite Review PDF Full Text: DOI