Inference via randomized test statistics
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Publication:6187890
DOI10.1214/22-aihp1299arXiv2112.06583OpenAlexW4386375417MaRDI QIDQ6187890
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Publication date: 16 January 2024
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.06583
central limit theoremweighted sumsphi-divergence test statisticspower divergence test statisticsrank-based test statistics
Multivariate distribution of statistics (62H10) Asymptotic distribution theory in statistics (62E20)
Cites Work
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- On approximating some statistics of goodness-of-fit tests in the case of three-dimensional discrete data
- Normal approximation for weighted sums under a second-order correlation condition
- Convergence rate of multinomial goodness-of-fit statistics to chi-square distribution
- Refinement on the convergence of one family of goodness-of-fit statistics to chi-squared distribu\-tion
- On approximating the distributions of Friedman's \(\chi^2_r\) and related statistics
- Lattice point problems and values of quadratic forms
- Berry-Esseen bounds for typical weighted sums
- Chi-square approximation by Stein's method with application to Pearson's statistic
- Poincaré inequalities and normal approximation for weighted sums
- Stein's method for functions of multivariate normal random variables
- Large ball probabilities, Gaussian comparison and anti-concentration
- Explicit rates of approximation in the CLT for quadratic forms
- Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law
- Variations on the Berry--Esseen Theorem
- Edgeworth Corrections in Randomized Central Limit Theorems
- Asymptotic Approximations for the Probability that a Sum of Lattice Random Vectors Lies in a Convex Set
- Transformations Related to the Angular and the Square Root
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