Open AccessTesting the Validity of Lindley Model Based on Informational Energy with Application to Real Medical Data
Author(s) -
Hadi Alızadeh Noughabi
Publication year - 2021
Publication title -
statistics, optimization and information computing
Language(s) - English
Resource type - Journals
eISSN - 2311-004X
pISSN - 2310-5070
DOI - 10.19139/soic-2310-5070-1238
Subject(s) - test statistic , statistic , consistency (knowledge bases) , monte carlo method , nonparametric statistics , computer science , test (biology) , statistics , set (abstract data type) , test data , data set , statistical hypothesis testing , data mining , mathematics , artificial intelligence , paleontology , biology , programming language
In this article, a test statistic for testing the validity of the Lindley model based on the informational energy is proposed. Consistency of our test is shown. Through a simulation study, we obtain the critical values of the test statistic and then the power of the test is computed by Monte Carlo method against various alternatives. The performance of the proposed test with some competing tests is compared. Our results show that our test is superior to the classical nonparametric tests and can apply to a testing problem in practice. A real medical data set is presented and analyzed.