Goel-Okumoto Based SPRT: Order Statistics

International Journal of Computer Trends and Technology (IJCTT)          
© 2015 by IJCTT Journal
Volume-30 Number-4
Year of Publication : 2015
Authors : Syed Khasim, Dr.R.Satya Prasad, Dr.G.Krishna Mohan


Syed Khasim, Dr.R.Satya Prasad, Dr.G.Krishna Mohan "Goel-Okumoto Based SPRT: Order Statistics". International Journal of Computer Trends and Technology (IJCTT) V30(4):218-225, December 2015. ISSN:2231-2803. www.ijcttjournal.org. Published by Seventh Sense Research Group.

Abstract -
Order statistics deals with properties and applications of ordered random variables and functions of these variables. The use of order statistics is significant when failures are frequent or the Time Between failures is less. Noise is inherent in the software failure data. A transformation of data is needed to smooth out the noise. Smoothing enhances quality at first as the size increments and turns out to be more regrettable as the gathering size is vast. Classical Hypothesis testing needs more time to draw conclusions by collecting volumes of data. But, to decide upon the reliability or unreliability of the developed software very quickly Sequential Analysis of Statistical science could be adopted. The procedure adopted for this is, Sequential Probability Ratio Test (SPRT). It is designed for continuous monitoring. The likelihood based SPRT proposed by Wald is very general and it can be used for many different probability distributions. The MLE method is used to derive the unknown parameters. In this paper a control mechanism based on order statistics and sequential Probability Ratio Test is applied using mean value function of Exponential distribution and analysed the results.

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Goel-Okumoto Model, Maximum Likelihood Estimation, Order statistics, SPRT, Reliability.