A New Weighted Skew Normal Model

Statistics, Optimization and Information Computing

article

Forough Naghibi¹  Sayed Mohammad Reza Alavi¹  Rahim Chinipardaz¹ 

[1] Shahid Chamran University of Ahvaz

关键词: Skew normal distribution;    Absolute-power weight function;    simulation;    maximum likelihood estimation;    geyser data;    pollen data;    egg size data.;   

DOI  :  10.19139/soic-2310-5070-1108

来源: Istituto Superiore di Sanita

【 摘 要 】

Weighted sampling is a useful method for constructing flexible models and analyzing data sets. In this paper, a new weighted distribution of skew normal is introduced with four parameters. The proposed model is a generalized version of several distributions, such as normal, bimodal normal, skew normal and skew bimodal normal-normal. This weighted model is form-invariant under proposed weight function. The basic characteristics of the model are expressed. A method has been used to generate data from the model. The maximum likelihood estimations of parameters are given and evaluated using simulation study. The model is fitted to the three real data sets. The advantage of the proposed model has been shown on the rival distributions  using appropriate criteria.

【 授权许可】

Unknown