Statistical Inferences and Applications of the Half Exponential Power Distribution
Author(s) -
Wenhao Gui
Publication year - 2013
Publication title -
journal of quality and reliability engineering
Language(s) - English
Resource type - Journals
eISSN - 2314-8047
pISSN - 2314-8055
DOI - 10.1155/2013/219473
Subject(s) - estimator , statistical inference , moment (physics) , exponential distribution , monte carlo method , exponential function , mathematics , method of moments (probability theory) , distribution (mathematics) , inference , statistical physics , maximum likelihood , power (physics) , computer science , statistics , artificial intelligence , mathematical analysis , physics , classical mechanics , quantum mechanics
We investigate the statistical inferences and applications of the half exponential power distribution for the first time. The proposed model defined on the nonnegative reals extends the half normal distribution and is more flexible. The characterizations and properties involving moments and some measures based on moments of this distribution are derived. The inference aspects using methods of moment and maximum likelihood are presented. We also study the performance of the estimators using the Monte Carlo simulation. Finally, we illustrate it with two real applications
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