International Journal of Mathematics Trends and Technology
Volume 53 | Number 4 | Year 2018 | Article Id. IJMTT-V53P537 | DOI : https://doi.org/10.14445/22315373/IJMTT-V53P537
Order statistics are widely used in Statistical modeling and its Statistical inference, which describes the random variables that are arranged in order of magnitude, frequently with respect to time. Order statistics deals with the properties and applications of ordered random variables and their functions. This study particularly focuses on two different failure time structures with Exponential and Weibull distributions. In particular, the study uses one parameter Exponential and Three parameter Weibull distributions. Distributions of Ordered statistics based on samples from exponential distribution are derived. Also their Moments, Skewness and Kurtosis were considered. Data were simulated and using them the parameters and moments of the distributions are estimated. All the estimated parameters are found to be very close to the population parameter with which the simulation has been initiated. The parameters are estimated with better accuracy. On the whole the study uses effectively the concept of Order Statistics in the domain of Reliability with focus on estimation and testing of its crucial parameters.
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Viswanathan. N, Ramakrishnan. M, "Order Statistics based on Exponential and Weibull Distributions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 53, no. 4, pp. 293-300, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V53P537
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