On a Bivariate Lack of Memory Property Under Binary Associative Operation

References

• Aczel , J. 1966 . Lectures on Functional Equations and Their Applications New York : Academic Press .
   Google Scholar
• Aczel , J. 1987 . A Short Course on Functional Equations Dordrecht : D. Reidel .
   Google Scholar
• Basu , A. P. and Block , H. W. 1975 . “ On characterizing univariate and multivariate exponential distributions with applications ” . In Statistical Distributions in Scientific Work Edited by: Patil , G. P. , Kotz , S. and Ord , J. Vol. 3 , 399 – 421 . Dordrecht : D. Reidel .
   Google Scholar
• Castagnoli , E. 1974 . Sulle trasformate delle funzioni di ripartizione delle variabili casuali . Studi e Ricerche , 10/11 : 3 – 13 .
   Google Scholar
• Castagnoli , E. 1978 . Sulle operazioni associative tra variabili casuali . Rivista di Matematica per le Scienze Economische e Sociali , 2 : 67 – 80 .
   Google Scholar
• Castagnoli , E. 1982 . Su una generalizzazione dell'equazione funzionale di Pexider e su alcune sue applicazioni . Atti giornate di lavaro AIRO 1982 , : 312 – 322 .
   Google Scholar
• Castagnoli , E. and Muliere , P. 1984 . Sur una equazione funzionale e alcuni problemi di caractterizzazione. Tech. Report No. 21. Istituto di Matematica Finanziaria, Universita di Parma
   Google Scholar
• Castagnoli , E. and Muliere , P. 1986 . Sulle trasformate integrali di funzioni di ripartizione . Metron , XLIV : 215 – 235 .
   Google Scholar
• Castagnoli , E. and Muliere , P. 1988 . On generalized transforms of distribution functions . Rivista di Matematica per le Scienze Economiche e Sociali , 11 : 27 – 39 .
   Google Scholar
• Galambos , J. and Kotz , S. 1978 . Characterizations of Probability Distributions Berlin : Springer .
   Google Scholar
• Gumbel , E. 1960 . Bivariate exponential distributions . J. Am. Statist. Assoc. , 55 : 698 – 707 .
   Google Scholar
• Johnson , N. L. and Kotz , S. 1975 . A vecor-valued multivariate hazard rate . J. Multivariate Anal. , 5 : 53 – 66 . (Addendum: Ibid (1975). 5:498)
   Google Scholar
• Marshall , A. W. and Olkin , I. 1967 . A multivariate exponential distribution . J. Am. Statist. Assoc. , 62 : 30 – 49 .
   Google Scholar
• Moeschberger , M. L. 1974 . Life tests under dependent competing causes of failure . Technometrics , 16 : 39 – 47 .
   Google Scholar
• Muliere , P. 1984 . Una nota su operazioni associative, trasformate integrali e problemi di caratterizzazione in statistica . Rivista di Matematica per le Scienze Economiche e Sociali , 7 : 79 – 93 .
   Google Scholar
• Muliere , P. and Scarsini , M. 1987 . Characterization of a Marshall-Olkin type distributions . Ann. Inst. Statist. Math. , 39 : 429 – 441 .
   Google Scholar
• Muliere , P. and Prakasa Rao , B. L. S. 2003 . Characterization of probability distributions under binary associative operation . Sankhya Ser. A , 65 : 799 – 806 .
   Google Scholar
• Prakasa Rao , B. L. S. 1974 . On a characterization of multivariate normal distribution . Comm. Statist. , 3 : 1077 – 1080 .
   Google Scholar
• Prakasa Rao , B. L. S. 1977 . On a characterization of Gaussian measures on locally compact abelian groups . Mathematical Notes , 22 : 914 – 916 .
   Google Scholar
• Prakasa Rao , B. L. S. 1992 . Identifiability in Stochastic Models Boston : Academic Press .
   Google Scholar
• Prakasa Rao , B. L. S. 1997 . “ On distributions with periodic failure rate and related inference problems ” . In Advances in Statistical Decision Theory and Applications Edited by: Panchapakesan , S. and Balakrishnan , N. 323 – 341 . Boston : Birkhauser .
   Google Scholar
• Roy , D. 2002 . On bivariate lack of memory property and a new definition . Ann. Inst. Statist. Math. , 54 : 404 – 410 .
   Google Scholar
• Roy , D. and Gupta , R. P. 1996 . Bivariate extension of Lomax and finite range distributions through characterization approach . J. Multivariate Anal. , 59 : 22 – 33 .
   Google Scholar
• Zahedi , H. 1985 . Some new classes of multivariate survival functions . J. Statist. Plann. Inference , 11 : 171 – 188 .
   Google Scholar