A NEW APPROACH TO STATISTICAL INFERENCE FOR EXPONENTIAL DISTRIBUTION BASED ON RECORD VALUES Page No: 2033-2038

Parviz Nasiri, Saman Hosseini and Masoud Yarmohammadi

Keywords: Exponential distribution, scale parameter, record values, upper record range, estimation based on upper record range.

Abstract: In this paper, we use the upper record range statistic to draw inferences from the scale parameter of the exponential distribution. These inferences are point estimation and interval estimation. We obtained MRE estimations under three different loss functions: Quadratic, Squared error and Absolute error loss function. Moreover, we derive the shortest interval and interval estimation with equal tails. Finally, we present some practical examples and simulations by using the method of inverse distribution transformation.



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