Commenced in January 2007
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Estimation of Location and Scale Parameters of Extended Exponential Distribution Based on Record Statistics

Authors: E. Krishna

Abstract:

An Extended form of exponential distribution using Marshall and Olkin method is introduced.The location scale family of these distributions is considered. For location scale free family, exact expressions for single and product moments of upper record statistics are derived. The mean, variance and covariance of record values are computed for various values of the shape parameter. Using these the BLUE's of location and scale parameters are derived.The variances and covariance of estimates are obtained.Through Monte Carlo simulation the con dence intervals for location and scale parameters are constructed.The Best liner unbiased Predictor (BLUP) of future records are also discussed.

Keywords: Monte Carlo Simulation, BLUE, BLUP, con dence interval, Marshall-Olkin distribution, prediction of future records, record statistics

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