A NEW GENERALIZATION OF THE EXPONENTIAL-POISSON DISTRIBUTION USING ORDER STATISTICS

Abstract

This paperintroduces anew familyof lifetimedistributions, using the ascendant order statistics. The proposed distribution is called the exponential-generalized truncated Poisson (EGTP) distribution. Our approach follows the same procedureasAdamidis and Loukas (1998) and generalizes the exponentialPoisson distribution introduced by Kus (2007). We give general forms of the probability density function (pdf),the cumulative distribution(cdf), the reliabilityand failure ratefunctionsof any order statistics. Theparameters’ estimation is attained by the maximum likelihood (ML) and the expectation maximization (EM) algorithms. The appliedstudy is illustrated based onreal datasets.

Authors and Affiliations

MOHIEDDINE RAHMOUNI, AYMAN ORABI

Keywords

Related Articles

PRE-HARVEST WHEAT YIELD FORECAST THROUGH AGRO-METEOROLOGICAL INDICES FOR NORTHERN REGION OF HARYANA

Parameter estimation in statistical modeling plays a crucial role in the real world phenomena. Several alternative analyses may be required for the purpose. An attempt has been made in this paper to assess the impact of...

INVARIANCE PROPERTIES AND ESTIMATING TASK SOLUTION OF BIOLOGICAL POPULATION IN THE TWO-DIMENSIONAL CASE

Considered methods of solving Kolmogorov - Fisher type task of reacting with diffusion, in the two-dimensional case, obtained invariant properties of solutions and two way estimation of the solution. Given are the result...

DESARGUES CONFIGURATION AND ELECTRICAL NETWORKS/CIRCUITS

An electronic network /circuit consists of components like resistors, diodes, capacitors, transistors and ICs, arranged such that the network contains maximum number of components using minimum space. When translated int...

ANALYSIS OF MULTIPLE LINEAR REGRESSION MODELS USING SYMBOLIC INTERVAL-VALUED VARIABLES

In this paper, a proposed form of dependent regression models are introduced to study symbolic data. The estimation of the proposed linear regression models are based on interval valued data, for which we have lower and...

THERMAL RADIATION AND CONVECTIVE HEATING ON HYDROMAGNETIC BOUNDARY LAYER FLOW OF NANOFLUID PAST A PERMEABLE STRETCHING SURFACE

This research work studies the hydromagnetic boundary layer flow of Nanofluid past a permeable stretching surface with the introduction of both thermal radiation and Newtonian heating. The Nanoparticles considered here a...

Download PDF file
  • EP ID EP250763
  • DOI -
  • Views 182
  • Downloads 0

How To Cite

MOHIEDDINE RAHMOUNI, AYMAN ORABI (2017). A NEW GENERALIZATION OF THE EXPONENTIAL-POISSON DISTRIBUTION USING ORDER STATISTICS. International Journal of Applied Mathematics & Statistical Sciences, 6(6), 27-36. https://europub.co.uk/articles/-A-250763