Discrete power distributions and inference using likelihood

IF 1.6 Q1 STATISTICS & PROBABILITY Statistica Pub Date : 2019-03-21 DOI:10.6092/ISSN.1973-2201/8598
A. Pallini
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Abstract

Discrete power distributions are proposed and studied, by considering the positive jumps on the discontinuities of an original discrete distribution function. Inequalities in moments and distribution functions are studied, allowing the definition of discrete intermediate distributions that lie between an original distribution and a power distribution. Original uniform, binomial, Poisson, negative binomial, and hypergeometric distributions are considered, to propose new power and intermediate distributions. Stochastic orders and unimodality are discussed. Estimation problems using likelihood are investigated. Simulation experiments are performed, to evaluate the bias and the mean square error of the maximum likelihood estimates, that are numerically calculated, with classic tools for numerical optimization.
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离散功率分布和使用似然的推理
通过考虑原始离散分布函数的不连续性上的正跳,提出并研究了离散功率分布。研究了矩和分布函数中的不等式,允许定义位于原始分布和幂分布之间的离散中间分布。考虑了原始的均匀分布、二项分布、泊松分布、负二项分布和超几何分布,提出了新的幂分布和中间分布。讨论了随机序和单峰性。研究了使用似然的估计问题。使用经典的数值优化工具进行了模拟实验,以评估数值计算的最大似然估计的偏差和均方误差。
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来源期刊
Statistica
Statistica STATISTICS & PROBABILITY-
CiteScore
1.70
自引率
0.00%
发文量
0
审稿时长
10 weeks
期刊最新文献
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