On Some Distributional Properties of the Family of Weighted Generalized Poisson Distribution

被引:20
作者
Chakraborty, Subrata [1 ,2 ]
机构
[1] Dibrugarh Univ, Dept Stat, Dibrugarh 786004, Assam, India
[2] Univ Malaya, Inst Math Sci, Kuala Lumpur, Malaysia
关键词
Characterization; Estimation; Generalized Poisson distribution; Limiting distribution; Quasi binomial distribution; Truncated distribution; Weighted distribution; DISCRETE-DISTRIBUTIONS; PREDETERMINED STRATEGY; URN MODEL; SERIES; MOMENTS;
D O I
10.1080/03610920903129141
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
Ambagaspitiya (1995) considered a family of discrete distribution with the property that [image omitted] and obtained w(a; b)-weighted (Rao, 1965) generalized Poisson distribution (GPD) as a sub class of the family. In this article various distributional properties of this sub class are studied when w(a; b)=as+1.
引用
收藏
页码:2767 / 2788
页数:22
相关论文
共 42 条
[1]   A 2-STATE MARKOV MIXTURE MODEL FOR A TIME-SERIES OF EPILEPTIC SEIZURE COUNTS [J].
ALBERT, PS .
BIOMETRICS, 1991, 47 (04) :1371-1381
[2]  
Ambagaspitiya R.S., 1994, ASTIN BULL, V24, P255, DOI [DOI 10.2143/AST.24.2.2005069, 10.2143/AST.24.2.2005069]
[3]   A FAMILY OF DISCRETE-DISTRIBUTIONS [J].
AMBAGASPITIYA, RS .
INSURANCE MATHEMATICS & ECONOMICS, 1995, 16 (02) :107-127
[4]   STATISTICAL-INFERENCE FOR A CLASS OF MODIFIED POWER-SERIES DISTRIBUTION WITH APPLICATIONS TO RANDOM MAPPING-THEORY [J].
BERG, S ;
NOWICKI, K .
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1991, 28 (02) :247-261
[5]   RANDOM MAPPINGS WITH AN ATTRACTING CENTER - LAGRANGIAN DISTRIBUTIONS AND A REGRESSION FUNCTION [J].
BERG, S ;
MUTAFCHIEV, L .
JOURNAL OF APPLIED PROBABILITY, 1990, 27 (03) :622-636
[6]   FITTING THE NEGATIVE BINOMIAL DISTRIBUTION TO BIOLOGICAL DATA - NOTE ON THE EFFICIENT FITTING OF THE NEGATIVE BINOMIAL [J].
BLISS, CI ;
FISHER, RA .
BIOMETRICS, 1953, 9 (02) :176-200
[7]   On some properties of a class of weighted quasi-binomial distributions [J].
Chakraborty, S ;
Das, KK .
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2006, 136 (01) :159-182
[8]  
CHAKRABORTY S, 2002, THESIS TEZPUR U TEZP
[9]  
Chakraborty S., 2008, COMMUN STAT-THEOR M, V37, P1755
[10]   SOME METHODS FOR STRENGTHENING THE COMMON X2 TESTS [J].
COCHRAN, WG .
BIOMETRICS, 1954, 10 (04) :417-451