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A test for equality of two exponential distributions

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  • S. K. Perng

Abstract

Let X1., Xn1 and Y1., Yn1, be two independent random samples from exponential populations. The statistical problem is to test whether or not two exponential populations are the same, based on the order statistics X[1],.X[r1] and Y[1],.Y[rs] where 1 r1n1 and 1 r2n2. A new test is given and an asymptotic optimum property of the test is proved.

Suggested Citation

  • S. K. Perng, 1978. "A test for equality of two exponential distributions," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 32(2), pages 93-102, June.
  • Handle: RePEc:bla:stanee:v:32:y:1978:i:2:p:93-102
    DOI: 10.1111/j.1467-9574.1978.tb01388.x
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    Cited by:

    1. Xiaojun Zhu & Narayanaswamy Balakrishnan & Hon-Yiu So, 2022. "Exact One- and Two-Sample Likelihood Ratio Tests based on Time-Constrained Life-Tests from Exponential Distributions," Methodology and Computing in Applied Probability, Springer, vol. 24(3), pages 2009-2028, September.

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