EXTENDED POWER LINDLEY DISTRIBUTION: A NEW STATISTICAL MODEL

Journal Article

القرني, سعيد حوفان . 2015

• نوع عمل المنشور: بحث
• رابط المنشور على الويب: http://www.eajournals.org/journals/european-journal-of-statistics-and-probability-ejsp/vol3issue-3september-2015/
• الوسوم: Extended power Lindley distribution; power Lindley distribution; nonmonotone
• المجلة \ الصحيفة: European Journal of Statistics and Probability
• رقم العدد: 3
• رقم الإصدار السنوي: 3
• الصفحات: 19-34

مستخلص المنشور

A new statistical model for non-monotone survival data is proposed with some

of its statistical properties as an extension of power Lindley distribution. These include the

density and hazard rate functions with their behavior, moments, moment generating function,

skewness, kurtosis measures, and quantile function. Maximum likelihood estimation of the

parameters and their estimated asymptotic distribution and confidence intervals are derived.

Rényi entropy as a measure of the uncertainty in the model is derived. An application of the

model to a real data set is presented and compared with the fit attained by other well-known

existing distributions.