Statistical Inference Based on Upper Record Values for the Transmuted Weibull Distribution
Journal Title: International Journal of Mathematics and Statistics Invention - Year 2017, Vol 5, Issue 9
Abstract
In this study, we have considered estimation of unknown parameters based on upper record values for Transmuted Weibull distribution with three parameter.Maximum likelihood and approximate Bayes estimators based on upper record values for unknown parameters of this distribution are obtained. Tierneykadane approximation is used to obtain approximate Bayes estimatorsunder squared loss function based on upper records. Also, biases and mean square errors of these estimators are compared with a Monte Carlo simulation study. Finally,a data analysis is presented on real data set which fit to transmuted Weibull distribution.
Authors and Affiliations
Caner Tanış, Buğra Saraçoğlu
Keywords
Related Articles
- EP ID EP406697
- DOI -
- Views 124
- Downloads 0
Moments of Extended Erlang-Truncated Exponential Distribution based on k th Lower Record Values and Characterizations
Recently, a new lifetime distribution, called extended Erlang-truncated exponential distribution was introduced by Okorie et al. (2017). In this paper, we present explicit expressions as well as some recurrence relations...
Oscillation of Solutions to Neutral Delay and Advanced Difference Equations with Positive and Negative Coefficients
In this article we give infinite-sum conditions for the oscillation of all solutions of the following first order neutral delay and advanced difference equations with positive and negative coefficientsof the forms.
Birth and Death Processeswith Finished Number of States
:A realistic description of the development of a population must obviously take into account both the births and deaths of the individuals composing it, this description can be illustrated by a simple model that is obtai...
Class of Estimators of Population Median Using New Parametric Relationship for Median
In this paper, we have defined a class of estimators of population median using the known information of population mean (𝑋 ) of the auxiliary variable making use of new parametric relationship for population median. We...
First-Passage Time moment Approximation For The Birth–Death Diffusion Process To A General moving Barrier
The development of a mathematical models for population growth of great importance in many fields. The growth and decline of real populations can in many cases be well approximated by the solutions of a stochastic differ...