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2010•Pakistan Journal of Statistics and Operation ResearchOpen access

EMPIRICAL CHARACTERISTIC FUNCTION APPROACH TO GOODNESS-OF-FIT TESTS FOR THE GENERALIZED EXPONENTIAL DISTRIBUTION

Suzanne A Allam

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Abstract

The goodness-of-fit test of Towhidi and Salmanpour (2007), which is based on the empirical characteristic function is used for testing the fit of the generalized exponential distribution. Monte Carlo procedures are employed to obtain the empirical percentage points for the test statistic. In addition, an extensive power study is conducted to compare the performance of this test against the well known goodness-of-fit tests which are based on empirical distribution function.

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The goodness-of-fit test of Towhidi and Salmanpour (2007), which is based on the empirical characteristic function is used for testing the fit of the generalized exponential distribution. Monte Carlo procedures are employed to obtain the empirical percentage points for the test statistic. In addition, an extensive power study is conducted to compare the performance of this test against the well known goodness-of-fit tests which are based on empirical distribution function.

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Available abstract

The goodness-of-fit test of Towhidi and Salmanpour (2007), which is based on the empirical characteristic function is used for testing the fit of the generalized exponential distribution. Monte Carlo procedures are employed to obtain the empirical percentage points for the test statistic. In addition, an extensive power study is conducted to compare the performance of this test against the well known goodness-of-fit tests which are based on empirical distribution function.

Key concepts: Goodness of fit, Mathematics, Empirical distribution function, Kolmogorov–Smirnov test, Anderson–Darling test, Exponential function, Statistics, Exponential distribution

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EMPIRICAL CHARACTERISTIC FUNCTION APPROACH TO GOODNESS-OF-FIT TESTS FOR THE GENERALIZED EXPONENTIAL DISTRIBUTION — Research Paper | ScholarLens