Parameter Estimation of the Zero Inflated Negative Binomial Beta Exponential Distribution

被引:0
|
作者
Sirichantra, Chutima [1 ]
Bodhisuwan, Winai [1 ]
机构
[1] Kasetsart Univ, Fac Sci, Dept Stat, Bangkok 10900, Thailand
关键词
POISSON;
D O I
10.1063/1.5012260
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The zero inflated negative binomial-beta exponential (ZINB-BE) distribution is developed, it is an alternative distribution for the excessive zero counts with overdispersion. The ZINB-BE distribution is a mixture of two distributions which are Bernoulli and negative binomial-beta exponential distributions. In this work, some characteristics of the proposed distribution are presented, such as, mean and variance. The maximum likelihood estimation is applied to parameter estimation of the proposed distribution. Finally some results of Monte Carlo simulation study, it seems to have high-efficiency when the sample size is large.
引用
收藏
页数:6
相关论文
共 50 条
  • [21] Bayesian and frequentist approaches on estimation and testing for a zero-inflated binomial distribution
    Nam, Seungji
    Kim, Seong W.
    Ng, Hon Keung Tony
    [J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2022, 51 (03): : 834 - 856
  • [22] A note on the inflated-parameter binomial distribution
    Bao, Zhenhua
    Song, Lixin
    Liu, He
    [J]. STATISTICS & PROBABILITY LETTERS, 2013, 83 (08) : 1911 - 1914
  • [23] Estimation of the shape parameter k of the negative binomial distribution
    Al-Saleh, MF
    Al-Batainah, FK
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2003, 143 (2-3) : 431 - 441
  • [24] Modeling citrus huanglongbing data using a zero-inflated negative binomial distribution
    de Almeida, Eudmar Paiva
    Janeiro, Vanderly
    Guedes, Terezinha Aparecida
    Mulati, Fabio
    Pedroza Carneiro, Jose Walter
    de Carvalho Nunes, William Mario
    [J]. ACTA SCIENTIARUM-AGRONOMY, 2016, 38 (03): : 299 - 306
  • [25] On Interval Estimation of the Poisson Parameter in a Zero-inflated Poisson Distribution
    Srisuradetchai, Patchanok
    Tonprasongrat, Kittanan
    [J]. THAILAND STATISTICIAN, 2022, 20 (02): : 357 - 371
  • [26] Estimation problems for the two-parameter negative binomial distribution
    Wang, YN
    [J]. STATISTICS & PROBABILITY LETTERS, 1996, 26 (02) : 113 - 114
  • [27] Bayesian estimation and case influence diagnostics for the zero-inflated negative binomial regression model
    Garay, Aldo M.
    Lachos, Victor H.
    Bolfarine, Heleno
    [J]. JOURNAL OF APPLIED STATISTICS, 2015, 42 (06) : 1148 - 1165
  • [28] Bayesian Inference for the Zero Inflated Negative Binomial Regression Model
    Shim, JungSuk
    Lee, Dong-Hee
    Jung, Byoung Cheol
    [J]. KOREAN JOURNAL OF APPLIED STATISTICS, 2011, 24 (05) : 951 - 961
  • [29] A COMPOUND OF ZERO TRUNCATED GENERALIZED NEGATIVE BINOMIAL DISTRIBUTION WITH GENERALIZED BETA DISTRIBUTION
    Rashid, Adil
    Jan, Tariq R.
    [J]. JOURNAL OF RELIABILITY AND STATISTICAL STUDIES, 2013, 6 (01): : 11 - 19
  • [30] Estimation for zero-inflated beta-binomial regression model with missing response data
    Luo, Rong
    Paul, Sudhir
    [J]. STATISTICS IN MEDICINE, 2018, 37 (26) : 3789 - 3813