On the fisher β-sufficient partition |
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Authors: | Adnan M Awad |
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Institution: | Department of Mathematics , University of Jordan , Amman, Jordan |
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Abstract: | This paper shows that the Fisher information in a partition of the space of a random variable X is less than or equal to the Fisher information of X about the unknown parameter. It also provides tables to construct β-sufficient partitions if X has an exponential distribution or a geometric distribution. Simulation study was conducted to show the advantage of using these tables over the usual methods used to construct histograms. |
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Keywords: | fisher information histograms exponential distribution geometric distribution |
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