Maximum Likelihood Estimations Based on Upper Record Values for Probability Density Function and Cumulative Distribution Function in Exponential Family and Investigating Some of Their Properties

摘要

In this paper a useful subfamily of the exponential family has beenconsidered. The ML estimation based on upper record values has been calculatedfor the parameter, Cumulative Density Function, and Probability DensityFunction of the family. Also, the relations between MLE based on record valuesand a random sample has been discussed. Additionally, some properties of theseestimators have been investigated. Finally, it has been proven that theseestimators have some useful properties for samples with large size