Inverse Analogue of Ailamujia Distribution with Statistical Properties and Applications
Ahmad Aijaz *
Department of Mathematics, Bhagwant University, Ajmer, India.
Afaq Ahmad
Department of Mathematical Sciences, Islamic University of Science and Technology, Awantipora, Kashmir, India.
Rajnee Tripathi
Department of Mathematics, Bhagwant University, Ajmer, India.
*Author to whom correspondence should be addressed.
Abstract
The present paper deals with the inverse analogue of Ailamujia distribution (IAD). Several statistical properties of the newly developed distribution has been discussed such as moments, moment generating function, survival measures, order statistics, shanon entropy, mode and median .The behavior of probability density function (p.d.f) and cumulative distribution function (c.d.f) are illustrated through graphs. The parameter of the newly developed distribution has been estimated by the well known method of maximum likelihood estimation. The importance of the established distribution has been shown through two real life data.
Keywords: Ailamujia distribution, inverse approach, moments, survival analysis, maximum likelihood estimation