A Cramér-type large deviation theorem for sums of functions of higher order non-overlapping spacings

Author:

Mirakhmedov Sherzod M.,Tirmizi Syed Ikram A.,Naeem Muhammad

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference35 articles.

1. Abramowitz M, Stegun IA (1972) A handbook of mathematical functions with formulas, graphs and mathematical tables. Dover, New York

2. Beirlant J, Janssen P, Veraverbeke N (1991) On the asymptotic normality of functions of uniform spacings. Can J Stat 19: 93–101

3. Bhattacharya PH, Rao RR (1976) Normal approximation and asymptotic expansions. Wiley, New York

4. Darling DA (1953) On a class of problems related to the random division of an interval. Ann Math Stat 24: 239–253

5. Deheuvels P (1985) Spacings and applications. Probability and statistics decisions theory. V.A 9F. Konecny, J. Mogyorodi, W. Wetz (eds) Reidel.Dordrecht., pp 1–30

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1. A note on Asymptotical Efficiency of the Goodness of Fit Tests Based on disjoint k-spacings Statistic;Pakistan Journal of Statistics and Operation Research;2018-12-25

2. Higher-order expansions and efficiencies of tests based on spacings;Journal of Nonparametric Statistics;2013-06

3. On Greenwood goodness-of-fit test;Journal of Statistical Planning and Inference;2010-11

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