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Volumn 196, Issue 2, 2008, Pages 521-531

A class of Hurwitz-Lerch Zeta distributions and their applications in reliability

Author keywords

Hazard rate; Hurwitz Lerch Zeta function; Infinitely divisible distributions; Log convex distributions; Modified power series distributions; Reliability functions; Residual life function; Reversed hazard rate; Statistical inference

Indexed keywords

NUMERICAL METHODS; STATISTICAL METHODS;

EID: 38649091739     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.06.012     Document Type: Article
Times cited : (66)

References (28)
  • 2
    • 0015981751 scopus 로고
    • On the fitting Poisson-lognormal distribution to species-abundance data
    • Bulmer M.G. On the fitting Poisson-lognormal distribution to species-abundance data. Biometrics 30 (1974) 101-110
    • (1974) Biometrics , vol.30 , pp. 101-110
    • Bulmer, M.G.1
  • 4
    • 0000243062 scopus 로고
    • Quadratic distance estimators for the zeta family
    • Doray L.G., and Luong A. Quadratic distance estimators for the zeta family. Insurance Math. Econ. 16 (1995) 255-260
    • (1995) Insurance Math. Econ. , vol.16 , pp. 255-260
    • Doray, L.G.1    Luong, A.2
  • 5
    • 0031387284 scopus 로고    scopus 로고
    • Efficient estimators for the Good family
    • Doray L.G., and Luong A. Efficient estimators for the Good family. Comm. Statist. Simul. Comput. 26 (1997) 1075-1088
    • (1997) Comm. Statist. Simul. Comput. , vol.26 , pp. 1075-1088
    • Doray, L.G.1    Luong, A.2
  • 6
    • 21844501564 scopus 로고
    • Demand for risky assets and the monotone probability ratio order
    • Eeckhoudt L., and Gollier C. Demand for risky assets and the monotone probability ratio order. J. Risk Uncertain. 11 (1995) 113-122
    • (1995) J. Risk Uncertain. , vol.11 , pp. 113-122
    • Eeckhoudt, L.1    Gollier, C.2
  • 7
    • 0042404214 scopus 로고
    • Modified power series distribution and some of its applications
    • Gupta R.C. Modified power series distribution and some of its applications. Sankhyā Ser. B 36 (1974) 288-298
    • (1974) Sankhyā Ser. B , vol.36 , pp. 288-298
    • Gupta, R.C.1
  • 8
    • 38649103456 scopus 로고
    • Corrigenda
    • pp. 255-255
    • Gupta R.C. Corrigenda. Sankhyā Ser. B 37 (1975) pp. 255-255
    • (1975) Sankhyā Ser. B , vol.37
    • Gupta, R.C.1
  • 9
    • 0039986886 scopus 로고
    • Maximum likelihood estimation of a modified power series distribution and some of its applications
    • Gupta R.C. Maximum likelihood estimation of a modified power series distribution and some of its applications. Comm. Statist. 4 (1975) 689-697
    • (1975) Comm. Statist. , vol.4 , pp. 689-697
    • Gupta, R.C.1
  • 11
    • 31244433637 scopus 로고    scopus 로고
    • R.D. Gupta, A.K. Nanda, Some results on reversed hazard rate ordering, in: International Conference on Statistics in the 21st Century (Orono, Maine, 2000), Comm. Statist. Theory Methods 30 (2001) pp. 2447-2458.
    • R.D. Gupta, A.K. Nanda, Some results on reversed hazard rate ordering, in: International Conference on Statistics in the 21st Century (Orono, Maine, 2000), Comm. Statist. Theory Methods 30 (2001) pp. 2447-2458.
  • 12
    • 38649127528 scopus 로고    scopus 로고
    • Springer-Verlag, New York
    • Gut A. Probability: A Graduate Course. Springer Texts in Statistics (2005), Springer-Verlag, New York
    • (2005) Springer Texts in Statistics
    • Gut, A.1
  • 13
    • 0011004159 scopus 로고
    • On log-concave and log-convex infinite divisible sequences and densities
    • Hansen B.G. On log-concave and log-convex infinite divisible sequences and densities. Ann. Probab. 16 (1988) 1832-1839
    • (1988) Ann. Probab. , vol.16 , pp. 1832-1839
    • Hansen, B.G.1
  • 14
    • 84891634833 scopus 로고
    • Inference based on retrospective ascertainment: An analysis of the data on transfusion-related AIDS
    • Kalbfleisch J.D., and Lawless J.F. Inference based on retrospective ascertainment: An analysis of the data on transfusion-related AIDS. J. Am. Statist. Assoc. 84 (1989) 360-372
    • (1989) J. Am. Statist. Assoc. , vol.84 , pp. 360-372
    • Kalbfleisch, J.D.1    Lawless, J.F.2
  • 15
    • 11444270155 scopus 로고    scopus 로고
    • Classes of discrete lifetime distributions
    • Kemp A.W. Classes of discrete lifetime distributions. Comm. Statist. Theory Methods 33 (2004) 3069-3093
    • (2004) Comm. Statist. Theory Methods , vol.33 , pp. 3069-3093
    • Kemp, A.W.1
  • 16
    • 0013496338 scopus 로고    scopus 로고
    • Stochastic orders and their application in financial optimization
    • Kijima M., and Ohnishi M. Stochastic orders and their application in financial optimization. Math. Methods Oper. Res. 50 (1999) 351-372
    • (1999) Math. Methods Oper. Res. , vol.50 , pp. 351-372
    • Kijima, M.1    Ohnishi, M.2
  • 17
    • 0001075727 scopus 로고
    • The HNBUE and HNWUE classes of life distributions
    • Klefsjo B. The HNBUE and HNWUE classes of life distributions. Naval Res. Logist. Quart. 29 (1982) 331-344
    • (1982) Naval Res. Logist. Quart. , vol.29 , pp. 331-344
    • Klefsjo, B.1
  • 18
    • 0011887030 scopus 로고
    • A new discrete distribution, with applications to survival, dispersal and dispersion
    • Kulasekera K.B., and Tonkyn D.W. A new discrete distribution, with applications to survival, dispersal and dispersion. Comm. Statist. Simul. Comput. 21 (1992) 499-518
    • (1992) Comm. Statist. Simul. Comput. , vol.21 , pp. 499-518
    • Kulasekera, K.B.1    Tonkyn, D.W.2
  • 19
    • 38249007186 scopus 로고
    • A probabilistic interpretation of the Hurwitz zeta function
    • Lippert R.A. A probabilistic interpretation of the Hurwitz zeta function. Adv. Math. 97 (1993) 278-284
    • (1993) Adv. Math. , vol.97 , pp. 278-284
    • Lippert, R.A.1
  • 20
    • 0347380844 scopus 로고    scopus 로고
    • Summation and recurrence formula involving the central factorial numbers and zeta function
    • Liu G. Summation and recurrence formula involving the central factorial numbers and zeta function. Appl. Math. Comput. 149 (2004) 175-186
    • (2004) Appl. Math. Comput. , vol.149 , pp. 175-186
    • Liu, G.1
  • 21
    • 31344476032 scopus 로고    scopus 로고
    • Discrete life distributions with decreasing reversed hazard
    • Nanda A.K., and Sengupta D. Discrete life distributions with decreasing reversed hazard. Sankhyā 67 (2005) 106-125
    • (2005) Sankhyā , vol.67 , pp. 106-125
    • Nanda, A.K.1    Sengupta, D.2
  • 22
    • 0005350114 scopus 로고
    • On the evolution of surnames
    • Panaretos J. On the evolution of surnames. Internat. Statist. Rev. 57 (1989) 161-179
    • (1989) Internat. Statist. Rev. , vol.57 , pp. 161-179
    • Panaretos, J.1
  • 23
    • 0033149027 scopus 로고    scopus 로고
    • Log-concave and concave distributions in reliability
    • Sengupta D., and Nanda A.K. Log-concave and concave distributions in reliability. Naval Res. Logist. 46 (1999) 419-433
    • (1999) Naval Res. Logist. , vol.46 , pp. 419-433
    • Sengupta, D.1    Nanda, A.K.2
  • 24
    • 23044520680 scopus 로고    scopus 로고
    • Some formulas for the Bernoulli and Euler polynomials at rationals arguments
    • Srivastava H.M. Some formulas for the Bernoulli and Euler polynomials at rationals arguments. Math. Proc. Cambridge Philos. Soc. 129 (2000) 77-89
    • (2000) Math. Proc. Cambridge Philos. Soc. , vol.129 , pp. 77-89
    • Srivastava, H.M.1
  • 27
    • 38649118827 scopus 로고
    • The Hurwitz distribution
    • New Perspectives in Theoretical and Applied Statistics (Bilbao, 1986). Puri M.L., Vilaplana J.P., and Wertz W. (Eds), John Wiley and Sons, New York
    • Vilaplana J.P. The Hurwitz distribution. In: Puri M.L., Vilaplana J.P., and Wertz W. (Eds). New Perspectives in Theoretical and Applied Statistics (Bilbao, 1986). Wiley Series in Probability and Mathematical Statistics (1987), John Wiley and Sons, New York
    • (1987) Wiley Series in Probability and Mathematical Statistics
    • Vilaplana, J.P.1
  • 28
    • 0000907092 scopus 로고
    • Unified representation of Zipf distributions
    • Zörnig P., and Altmann G. Unified representation of Zipf distributions. Comput. Statist. Data Anal. 19 (1995) 461-473
    • (1995) Comput. Statist. Data Anal. , vol.19 , pp. 461-473
    • Zörnig, P.1    Altmann, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.