Some dynamic generalized information measures in the context of weighted models

Authors

  • S. S. Maya Cochin University of Science and Technology
  • S. Madhavan Sunoj Cochin University of Science and Technology

DOI:

https://doi.org/10.6092/issn.1973-2201/3522

Abstract

In this paper, we study some dynamic generalized information measures between a true distribution and an observed (weighted) distribution, useful in life length studies. Further, some bounds and inequalities related to these measures are also studied.

References

A. DI CRESCENZO (2000), Some results on the proportional reversed hazards model, “Statistics and Probability Letters”, 50, pp. 313-321.

A. DI CRESCENZO AND M. LONGOBARDI (2002), Entropy based measures of uncertainty in past life time distributions, “Journal of Applied Probability”, 39, pp. 434-440.

A. DI CRESCENZO AND M. LONGOBARDI (2004), A measure of discrimination between past lifetime distributions, “Statistics and Probability Letters”, 67, pp. 173-182.

A. DI CRESCENZO AND M. LONGOBARDI (2006), On weighted residual and past entropies, “Scientiae Mathematicae Japonicae”, 64(2), pp. 255-266.

A. RENYI (1961), On measures of entropy and information, “Proceeding of the Fourth Berkeley Symposium on Mathematics, Statistics and Probability”, 1, University of California Press, Berkeley, pp. 547-561.

B.O. OLUYEDE AND M. TERBECHE (2007), On energy and expected uncertainty measures in weighted distributions, “International Mathematical Forum”, 2(20), pp. 947-956.

C.R. RAO (1965), On discrete distributions arising out of methods of ascertainments, In “Classical and Contagious Discrete Distributions”, G. P. Patil (ed.), Pergunon Press and Statistical Publishing Society, Calcutta, pp. 320-332. Also reprinted in “Sankhya A”, 27, pp. 311-324.

G.P. PATIL AND C.R. RAO (1977), Weighted distribution: A survey of their applications, In Applications of Statistics (Krishnaiah, P.R. ed.), 384-405. North Holland Publishing Company.

J. NAVARRO, Y. DEL AGUILA AND J.M. RUIZ (2001), Characterizations through reliability measures from weighted distributions, “Statistical Papers”, 42, pp. 395-402.

M. ASADI, N. EBRAHIMI AND E.S. SOOFI (2005a), Dynamic generalized information measures, “Statistics and Probability Letters”, 71, pp. 85-98.

M. ASADI, N. EBRAHIMI, G.G. HAMEDANI AND E.S. SOOFI (2004), Maximum dynamic entropy models, “Journal of Applied Probability”, 41, pp. 379-390.

M. ASADI, N. EBRAHIMI, G.G. HAMEDANI AND E.S. SOOFI (2005b), Minimum dynamic discrimination information models, “Journal of Applied Probability”, 42, pp. 643-660.

M.C. JONES (1990), The relationship between moments of truncated and original distributions plus some other simple structural properties of weighted distributions, “Metrika”, 37, pp. 233-243.

N. EBRAHIMI (1998), Testing for exponentiality of the residual lifetime distributions, “Sankhya A”, 58, pp. 48-57.

N. EBRAHIMI (2001), Testing for uniformity of the residual lifetime based on dynamic Kullback-Leibler information, “Annals of the Institute of Statistical Mathematics”, 53, pp. 325-337.

N. EBRAHIMI AND S.N.U.A. KIRMANI (1996a), A characterization of the proportional hazards model through a measure of discrimination between two residual life distributions, “Biometrika”, 83, pp. 233-235.

N. EBRAHIMI AND S.N.U.A. KIRMANI (1996b), A measure of discrimination between two residual lifetime distributions and its applications, “Annals of the Institute of Statistical Mathematics”, 48, pp. 257-265.

N.U. NAIR AND S.M. SUNOJ (2003), Form-invariant bivariate weighted models, “Statistics”, 37(3), pp. 259-269.

R.C. GUPTA AND S.N.U.A. KIRMANI (1990), The role of weighted distributions in stochastic modeling, “Communications in statistics – Theory and Methods”, 19(9), pp. 3147-3162.

S. KULLBACK AND R.A. LEIBLER (1951), On information and sufficiency, “The Annals of Mathematical Statistics”, 22, pp. 79-86.

S.M. SUNOJ AND S.S. MAYA (2006), Some properties of weighted distributions in the context of repairable systems, “Communications in Statistics-Theory and Methods”, 35, pp. 223-228.

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Published

2008-03-31

How to Cite

Maya, S. S., & Sunoj, S. M. (2008). Some dynamic generalized information measures in the context of weighted models. Statistica, 68(1), 71–84. https://doi.org/10.6092/issn.1973-2201/3522

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Articles