On a Generalised Exponential-Lindley Mixture of Generalised Poisson Distribution

Exponential-modified discrete Lindley distribution

In this study, we have considered a series system composed of stochastically independent M-component where M is a random variable having the zero truncated modified discrete Lindley distribution. This distribution is newly introduced by transforming on original parameter. The properties of the distribution of the lifetime of above system have been examined under the given circumstances and also...

Generalised Exponential Families and Associated Entropy Functions

A generalised notion of exponential families is introduced. It is based on the variational principle, borrowed from statistical physics. It is shown that inequivalent generalised entropy functions lead to distinct generalised exponential families. The well-known result that the inequality of Cramér and Rao becomes an equality in the case of an exponential family can be generalised. However, thi...

The Exponentiated Poisson-Lindley Distribution; Features and Applications in Reliability

Abstract. In this paper a new three-parameter lifetime distribution named “the Exponentialed Lindley-Poisson (E-LP) distribution” has been suggested that it has an  increasing, decreasing and invers bathtube hazard rate depending on the parameter values. The (E-LP) distribution has applications in economics, actuarial modeling, reliability modeling, lifetime and queuing problems and biological ...

Generalised Test = Generalised Inference

Tim Menzies Dept. of Software Development, Monash University, Australia [email protected]; http://www.sd.monash.edu.au/ timm Abstract|We are used to viewing veri cation and validation as tasks to be performed after a knowledge-base is built. In this standard view, the inference engine is built rst, the knowledge base is then lled out, then nally a test engine is added to verify or va...

Statistical inference for the lifetime performance index based on generalised order statistics from exponential distribution