Displaying similar documents to “A limit theorem for joint distribution of order-statistics from stationary Gaussian sequences”

On two tests based on disjoint m-spacings

Franciszek Czekała (1998)

Applicationes Mathematicae

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This paper is concerned with the properties of two statistics based on the logarithms of disjoint m-spacings. The asymptotic normality is established in an elementary way and exact and asymptotic means and variances are computed in the case of uniform distribution on the interval [0,1]. This result is generalized to the case when the sample is drawn from a distribution with positive step density on [0,1]. Bahadur approximate efficiency of tests based on those statistics is found for...