Goodness-of-Fit Statistics for the Exponential Distribution When the Data are Grouped

We consider testing for an exponential distribution with unspecified rate parameter when it is only possible to observe the counts in groups with boundaries specified before sighting the data. On the basis of a size and power study we recommend that tests of fit for the exponential distribution be based on the Anderson-Darling statistic and the SW2 statistic recommended by Gulati and Neus (2001). We also suggest that inference based on one of these be complemented by examination of the components of the X 2 statistic. We illustrate how to use these components to give improved models.

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X²and its components as tests of normality for grouped data

Best

Rayner

Thas

2008

Journal of Applied Statistics

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We consider testing for an unobservable normal distribution with unspecified mean and variance. It is only possible to observe the counts in groups with boundaries specified before sighting the data. On the basis of a small power study we recommend the usual X 2 test be used as an omnibus test, augmented by informal examination of the first two non-zero component of X 2 . We also recommend use of maximum likelihood and method of moments estimation.

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Goodness-of-Fit Statistics for the Exponential Distribution When the Data are Grouped

Cited by 5 publications

References 13 publications

Wald’s Method and Nikulin-Rao-Robson Test

Wald’s Method and Nikulin-Rao-Robson Test

Chi-squared components for tests of fit and improved models for the grouped exponential distribution

X²and its components as tests of normality for grouped data

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Goodness-of-Fit Statistics for the Exponential Distribution When the Data are Grouped

Cited by 5 publications

References 13 publications

Wald’s Method and Nikulin-Rao-Robson Test

Wald’s Method and Nikulin-Rao-Robson Test

Chi-squared components for tests of fit and improved models for the grouped exponential distribution

X2and its components as tests of normality for grouped data

Contact Info

Product

Resources

About

X²and its components as tests of normality for grouped data