Nath, Prem; Singh, D. K. On some functional equations related to various entropies. (English) Zbl 1399.39041 Rev. Roum. Math. Pures Appl. 62, No. 4, 505-518 (2017). MSC: 39B22 39B52 94A17 PDFBibTeX XMLCite \textit{P. Nath} and \textit{D. K. Singh}, Rev. Roum. Math. Pures Appl. 62, No. 4, 505--518 (2017; Zbl 1399.39041)
Nath, Prem; Singh, Dhiraj Kumar On an equation related to nonadditive entropies in information theory. (English) Zbl 1419.39043 Math. Appl., Brno 6, No. 1, 31-41 (2017). MSC: 39B22 39B52 94A15 94A17 PDFBibTeX XMLCite \textit{P. Nath} and \textit{D. K. Singh}, Math. Appl., Brno 6, No. 1, 31--41 (2017; Zbl 1419.39043) Full Text: DOI
Nath, Prem; Singh, Dhiraj Kumar On a sum form functional equation and its applications in information theory and statistics. (English) Zbl 1216.39030 Aequationes Math. 81, No. 1-2, 77-95 (2011). Reviewer: Pushpa N. Rathie (Brasilia) MSC: 39B22 39B52 94A15 62B10 94A24 94A17 PDFBibTeX XMLCite \textit{P. Nath} and \textit{D. K. Singh}, Aequationes Math. 81, No. 1--2, 77--95 (2011; Zbl 1216.39030) Full Text: DOI
Nath, Prem; Singh, Dhiraj Kumar A sum form functional equation and its relevance in information theory. (English) Zbl 1166.39010 Aust. J. Math. Anal. Appl. 5, No. 1, Article No. 9, 1-18 (2008). MSC: 39B52 94A17 PDFBibTeX XMLCite \textit{P. Nath} and \textit{D. K. Singh}, Aust. J. Math. Anal. Appl. 5, No. 1, Article No. 9, 1--18 (2008; Zbl 1166.39010) Full Text: Link
Nath, Prem; Singh, Dhiraj Kumar A sum form functional equation related to various entropies in information theory. (English) Zbl 1156.39016 Glas. Mat., III. Ser. 43, No. 1, 159-178 (2008). Reviewer: Pl. Kannappan (Waterloo) MSC: 39B52 94A17 PDFBibTeX XMLCite \textit{P. Nath} and \textit{D. K. Singh}, Glas. Mat., III. Ser. 43, No. 1, 159--178 (2008; Zbl 1156.39016) Full Text: DOI Link
Nath, Prem On some sum form functional equations related to information theory. (English) Zbl 1128.39019 J. Interdiscip. Math. 9, No. 1, 1-15 (2006). Reviewer: Pushpa N. Rathie (Brasilia) MSC: 39B22 94A17 PDFBibTeX XMLCite \textit{P. Nath}, J. Interdiscip. Math. 9, No. 1, 1--15 (2006; Zbl 1128.39019) Full Text: DOI
Nath, Prem On the measurable solutions of some functional equations useful in information theory. (English) Zbl 1088.94520 J. Discrete Math. Sci. Cryptography 8, No. 1, 99-115 (2005). MSC: 94A17 94A15 PDFBibTeX XMLCite \textit{P. Nath}, J. Discrete Math. Sci. Cryptography 8, No. 1, 99--115 (2005; Zbl 1088.94520) Full Text: DOI
Nath, Prem On the measurable solutions of a functional equation related to some measures of entropy in information theory. (English) Zbl 1172.94544 J. Interdiscip. Math. 7, No. 2, 205-219 (2004). MSC: 94A17 39B22 28A20 PDFBibTeX XMLCite \textit{P. Nath}, J. Interdiscip. Math. 7, No. 2, 205--219 (2004; Zbl 1172.94544) Full Text: DOI
Nath, Prem On determining a representation for measures of entropy possessing branching property without assuming symmetry. (English) Zbl 1022.94003 J. Discrete Math. Sci. Cryptography 5, No. 1, 63-75 (2002). MSC: 94A17 PDFBibTeX XMLCite \textit{P. Nath}, J. Discrete Math. Sci. Cryptography 5, No. 1, 63--75 (2002; Zbl 1022.94003) Full Text: DOI
Nath, Prem; Kaur, M. M.; Singh, Ranjeet Some derivations of the Shannon entropy. (English) Zbl 0927.94010 J. Discrete Math. Sci. Cryptography 1, No. 1, 85-100 (1998). Reviewer: Leandro Pardo (Madrid) MSC: 94A17 PDFBibTeX XMLCite \textit{P. Nath} et al., J. Discrete Math. Sci. Cryptography 1, No. 1, 85--100 (1998; Zbl 0927.94010) Full Text: DOI
Nath, Prem; Kaur, Man Mohan Quasicyclic symmetry and the Shannon entropy. (English) Zbl 0751.94005 J. Inf. Optim. Sci. 13, No. 1, 165-172 (1992). MSC: 94A17 PDFBibTeX XMLCite \textit{P. Nath} and \textit{M. M. Kaur}, J. Inf. Optim. Sci. 13, No. 1, 165--172 (1992; Zbl 0751.94005) Full Text: DOI
Nath, Prem; Gulati, Kanwar Kumar Cyclic symmetry on cyclic and noncyclic sets of probability distributions and the entropies of degree \(\alpha\). (English) Zbl 0719.94008 J. Stat. Plann. Inference 27, No. 2, 237-247 (1991). MSC: 94A17 94A24 PDFBibTeX XMLCite \textit{P. Nath} and \textit{K. K. Gulati}, J. Stat. Plann. Inference 27, No. 2, 237--247 (1991; Zbl 0719.94008) Full Text: DOI
Nath, Prem; Singh, Ranjit Some characterizations of the directed divergence using cyclic symmetry. (English) Zbl 0647.94005 IEEE Trans. Inf. Theory 34, No. 1, 130-134 (1988). MSC: 94A17 PDFBibTeX XMLCite \textit{P. Nath} and \textit{R. Singh}, IEEE Trans. Inf. Theory 34, No. 1, 130--134 (1988; Zbl 0647.94005) Full Text: DOI
Nath, Prem; Singh, Ranjit Quasicyclic symmetry and the directed divergence in information theory. (English) Zbl 0618.94005 J. Stat. Plann. Inference 16, 33-47 (1987). Reviewer: W.Sander MSC: 94A17 PDFBibTeX XMLCite \textit{P. Nath} and \textit{R. Singh}, J. Stat. Plann. Inference 16, 33--47 (1987; Zbl 0618.94005) Full Text: DOI
Nath, Prem; Singh, Ranjit An equivalence theorem concerning symmetry, recursivity and cyclic symmetry. (English) Zbl 0591.94016 Indian J. Pure Appl. Math. 17, 21-25 (1986). MSC: 94A17 PDFBibTeX XMLCite \textit{P. Nath} and \textit{R. Singh}, Indian J. Pure Appl. Math. 17, 21--25 (1986; Zbl 0591.94016)
Nath, Prem; Singh, Ranjit On symmetry and the directed divergence in information theory. (English) Zbl 0601.94003 J. Stat. Plann. Inference 12, 235-248 (1985). Reviewer: B.Bouchon MSC: 94A17 PDFBibTeX XMLCite \textit{P. Nath} and \textit{R. Singh}, J. Stat. Plann. Inference 12, 235--248 (1985; Zbl 0601.94003) Full Text: DOI
Nath, Prem; Singh, Ranjit On a characterization of directed divergence in information theory. (English) Zbl 0598.94004 Bull. Calcutta Math. Soc. 77, 199-207 (1985). MSC: 94A17 39B99 PDFBibTeX XMLCite \textit{P. Nath} and \textit{R. Singh}, Bull. Calcutta Math. Soc. 77, 199--207 (1985; Zbl 0598.94004)
Nath, Prem; Singh, Ranjit Role of zero probability events in characterizing the directed divergence. (English) Zbl 0574.62004 SCIMA, J. Manage. Sci. Appl. Cybern. 14, 39-53 (1985). Reviewer: A.Sgarro MSC: 62B10 94A17 62E10 94A15 PDFBibTeX XMLCite \textit{P. Nath} and \textit{R. Singh}, SCIMA, J. Manage. Sci. Appl. Cybern. 14, 39--53 (1985; Zbl 0574.62004)
Nath, Prem; Singh, Ranjit Extreme symmetry and the directed divergence in information theory. (English) Zbl 0548.94010 Kybernetika 20, 329-337 (1984). MSC: 94A17 PDFBibTeX XMLCite \textit{P. Nath} and \textit{R. Singh}, Kybernetika 20, 329--337 (1984; Zbl 0548.94010) Full Text: EuDML
Nath, Prem; Singh, Ranjit Reversible symmetry and the directed divergence in information theory. (English) Zbl 0546.94006 SCIMA, J. Manage. Sci. Appl. Cybern. 13, 42-53 (1984). MSC: 94A17 PDFBibTeX XMLCite \textit{P. Nath} and \textit{R. Singh}, SCIMA, J. Manage. Sci. Appl. Cybern. 13, 42--53 (1984; Zbl 0546.94006)
Nath, Prem On noiseless coding. (English) Zbl 0539.94010 J. Inf. Optim. Sci. 5, 167-182 (1984). MSC: 94A17 94A24 PDFBibTeX XMLCite \textit{P. Nath}, J. Inf. Optim. Sci. 5, 167--182 (1984; Zbl 0539.94010) Full Text: DOI
Nath, Prem On Shannon’s inequality and its applications. (English) Zbl 0527.60017 Math. Stud. 46(1978), No. 2-4, 293-307 (1982). MSC: 60E15 94A17 PDFBibTeX XMLCite \textit{P. Nath}, Math. Stud. 46, No. 2--4, 293--307 (1982; Zbl 0527.60017)
Nath, Prem; Kaur, Man Mohan On some characterizations of the Shannon entropy using extreme symmetry and block symmetry. (English) Zbl 0511.94012 Inf. Control 53, 9-20 (1982). MSC: 94A17 PDFBibTeX XMLCite \textit{P. Nath} and \textit{M. M. Kaur}, Inf. Control 53, 9--20 (1982; Zbl 0511.94012) Full Text: DOI
Nath, Prem; Kaur, Man Mohan Cyclic symmetry and the Shannon entropy. (English) Zbl 0474.94019 Inf. Sci. 25, 217-234 (1981). MSC: 94A17 PDFBibTeX XMLCite \textit{P. Nath} and \textit{M. M. Kaur}, Inf. Sci. 25, 217--234 (1981; Zbl 0474.94019) Full Text: DOI
Nath, Prem; Kaur, M. M. Symmetry and the Shannon entropy. (English) Zbl 0459.94010 Inf. Sci. 24, 111-120 (1981). MSC: 94A17 60E99 PDFBibTeX XMLCite \textit{P. Nath} and \textit{M. M. Kaur}, Inf. Sci. 24, 111--120 (1981; Zbl 0459.94010) Full Text: DOI
Nath, Prem; Kaur, Man Mohan On characterizing the Shannon entropy without assuming symmetry. (English) Zbl 0458.94027 Inf. Control 47, 213-219 (1980). MSC: 94A17 PDFBibTeX XMLCite \textit{P. Nath} and \textit{M. M. Kaur}, Inf. Control 47, 213--219 (1980; Zbl 0458.94027) Full Text: DOI
Behara, M.; Nath, P. On additive and non-additive measures of directed divergence. (English) Zbl 0442.60007 Kybernetika 16, 1-12 (1980). MSC: 60A05 60A10 94A15 39B99 PDFBibTeX XMLCite \textit{M. Behara} and \textit{P. Nath}, Kybernetika 16, 1--12 (1980; Zbl 0442.60007) Full Text: EuDML
Nath, Prem On some functional equations connected with various entropies in information theory. (English) Zbl 0416.39003 Nanta Math. 12, 48-61 (1979). MSC: 39B99 94A17 39B62 PDFBibTeX XMLCite \textit{P. Nath}, Nanta Math. 12, 48--61 (1979; Zbl 0416.39003)
Behara, M.; Nath, P. Information and entropy of countable measurable partitions. I. (English) Zbl 0295.94046 Kybernetika, Praha 10, 491-503 (1974). Reviewer: Suguru Arimoto (Kyoto) MSC: 94A15 94A17 62B10 PDFBibTeX XMLCite \textit{M. Behara} and \textit{P. Nath}, Kybernetika 10, 491--503 (1974; Zbl 0295.94046) Full Text: EuDML
Aczél, János; Nath, P. Axiomatic characterizations of some measures of divergence in information. (English) Zbl 0221.94032 Z. Wahrscheinlichkeitstheor. Verw. Geb. 21, 215-224 (1972). MSC: 94A17 PDFBibTeX XMLCite \textit{J. Aczél} and \textit{P. Nath}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 21, 215--224 (1972; Zbl 0221.94032) Full Text: DOI
Aczél, János; Nath, P. Axiomatic characterizations of some measures of divergence in information. (English) Zbl 0213.21201 Z. Wahrscheinlichkeitstheor. Verw. Geb. 21, 215-224 (1972). MSC: 94A17 PDFBibTeX XMLCite \textit{J. Aczél} and \textit{P. Nath}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 21, 215--224 (1972; Zbl 0213.21201) Full Text: DOI
Behara, M.; Nath, P. Additive and non-additive entropies of finite measurable partitions. (English) Zbl 0224.94032 McMaster Mathematical Report. No. 31. Hamilton, Ontario, Canada: McMaster University, Department of Mathematics. 41 p. (1970). MSC: 94A17 PDFBibTeX XML
Nath, Prem Entropy and inaccuracy. (English) Zbl 0201.53004 Cah. Cent. Étud. Rech. Opér. 9, 192-205 (1967). Reviewer: F. Jelinek MSC: 94A17 PDFBibTeX XMLCite \textit{P. Nath}, Cah. Cent. Étud. Rech. Opér. 9, 192--205 (1967; Zbl 0201.53004)