Zobrazeno 1 - 10
of 108
pro vyhledávání: '"Nikitin, Ya. Yu."'
In this paper some well-known tests based on empirical distribution functions (EDF) with estimated parameters for testing composite normality hypothesis are revisited, and some new results on asymptotic properties are provided. In particular, the app
Externí odkaz:
http://arxiv.org/abs/2106.07437
Autor:
Nikitin, Ya. Yu., Simarova, E. N.
U-max statistics were introduced by Lao and Mayer in 2008. Instead of averaging the kernel over all possible subsets of the original sample, they considered the maximum of the kernel. Such statistics are natural in stochastic geometry. Examples are t
Externí odkaz:
http://arxiv.org/abs/2010.04460
Autor:
Nazarov, A. I., Nikitin, Ya. Yu.
We introduce a new approach to the spectral equivalence of Gaussian processes and fields, based on the methods of operator theory in Hilbert space. Besides several new results including identities in law of quadratic norms for integrated and multiply
Externí odkaz:
http://arxiv.org/abs/2005.05771
Autor:
Nikitin, Ya. Yu.
Publikováno v:
Acta et Commentationes Universitatis Tartuensis de Mathematica,17, N 1, 3-24 (2017)
A survey of goodness-of-fit and symmetry tests based on the characterization properties of distributions is presented. This approach became popular in recent years. In most cases the test statistics are functionals of $U$-empirical processes. The lim
Externí odkaz:
http://arxiv.org/abs/1707.01522
Publikováno v:
Bulletin of the Malaysian Mathematical Sciences Society, 43(1):297-320, 2020
Two new symmetry tests, of integral and Kolmogorov type, based on the characterization by squares of linear statistics are proposed. The test statistics are related to the family of degenerate U-statistics. Their asymptotic properties are explored. T
Externí odkaz:
http://arxiv.org/abs/1705.06917
Autor:
Milošević, B.1 (AUTHOR) bojana@matf.bg.ac.rs, Nikitin, Ya. Yu.2 (AUTHOR), Obradović, M.1 (AUTHOR) marcone@matf.bg.ac.rs
Publikováno v:
Journal of Mathematical Sciences. Jul2023, Vol. 273 Issue 5, p793-803. 11p.
Autor:
Durio, A., Nikitin, Ya. Yu.
The efficiency of distribution-free {\it integrated} goodness-of-fit tests was studied by Henze and Nikitin (2000, 2002) under location alternatives. We calculate local Bahadur efficiencies of these tests under more realistic generalized skew alterna
Externí odkaz:
http://arxiv.org/abs/1605.07385
Autor:
Nikitin, Ya. Yu., Volkova, K. Yu.
New goodness-of-fit tests for exponentiality based on a particular property of exponential law are constructed. Test statistics are functionals of U-empirical processes. The first of these statistics is of integral type, the second one is a Kolmogoro
Externí odkaz:
http://arxiv.org/abs/1603.02245
We propose two families of scale-free exponentiality tests based on the recent characterization of exponentiality by Arnold and Villasenor. The test statistics are based on suitable functionals of U-empirical distribution functions. The family of int
Externí odkaz:
http://arxiv.org/abs/1407.5014
Autor:
Nikitin, Ya. Yu., Ahsanullah, M.
We use a characterization of symmetry in terms of extremal order statistics which enables to build several new nonparametric tests of symmetry. We discuss their limiting distributions and calculate their local exact Bahadur efficiency under location
Externí odkaz:
http://arxiv.org/abs/1403.7517