Abstract
In this study, tests of fit for the power function lognormal distribution is considered. The probability plot, probability plot correlation coefficient, and goodness-of-fit tests—the Kolmogorov–Smirnov (KS), Cramér–von Mises (CvM), and Anderson–Darling (AD) tests are provided. Tables of critical values are presented by using simulation techniques, and the AD test outperforms KS and CvM tests based on power comparisons. Finally, to illustrate these test procedures, we fit this distribution to the data which represent the survival times of 121 breast cancer patients from one hospital.
Funder
National Social Science Fund of China
Publisher
Public Library of Science (PLoS)
Reference11 articles.
1. Statistical Size Distributions in Economics and Actuarial Sciences
2. Parameter estimation for power function lognormal composite distribution;C. Wang;Communications in Statistics—Theory and Methods,2023
3. Inequality measures based on log power function lognormal composite distribution;C. Wang;Applied Economics Letters,2022
4. Exponentiated generalized linear exponential distribution;AM Sarhan;Applied Mathematical Modelling,2013
5. The generalized transmuted-G family of distributions[J];ZM Nofal;Communications in Statistics-Theory and Methods,2017