A NEW GENERALIZATION OF THE EXPONENTIAL-POISSON DISTRIBUTION USING ORDER STATISTICS
Journal Title: International Journal of Applied Mathematics & Statistical Sciences - Year 2017, Vol 6, Issue 6
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
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...