The Pyke estimator and the exponential distribution
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Authors
Kelley, Hugh Allan
Subjects
Estimating distribution
Exponential distribution
Pyke estimator
Risk
Sample distribution function
Exponential distribution
Pyke estimator
Risk
Sample distribution function
Advisors
Read, R.R.
Date of Issue
1973-03
Date
March 1973
Publisher
Language
eng
Abstract
It is common to estimate a distribution by means of a step function. Such estimates can be made continuous by connecting the left points of the steps with straight line segments. In this paper, the best estimator of this class is found for data which is exponentially distributed using minimum risk. The risk is then compared
with those of the sample distribution function and the Pyke estimator.
Type
Thesis
Description
Series/Report No
Department
Operations Research and Administrative Sciences
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funder
Format
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.