论文信息 - Upper bounds for minimal distances in the central limit theorem - 字舞流文

Upper bounds for minimal distances in the central limit theorem

Nous obtenons des majorations des distances minimales dans le theoreme limite central pour les suites de variables aleatoires reelles mdependantes.

[1] Généralités sur les probabilités : éléments aléatoires , 1950 .

[2] G. Dall'aglio. Sugli estremi dei momenti delle funzioni di ripartizione doppia , 1956 .

[3] On Asymptotically Best Constants in Refinements of Mean Limit Theorems , 1964 .

[4] On the Accuracy of Gaussian Approximation to the Distribution Functions of Sums of Independent Variables , 1966 .

[5] A. Bikelis. On estimates of the remainder term in the central limit theorem , 1966 .

[6] V. V. Petrov,et al. On an Estimate of the Remainder Term in the Central Limit Theorem , 1967 .

[7] P. Major,et al. An approximation of partial sums of independent RV'-s, and the sample DF. I , 1975 .

[8] V. V. Petrov. Sums of Independent Random Variables , 1975 .

[9] V. Zolotarev. METRIC DISTANCES IN SPACES OF RANDOM VARIABLES AND THEIR DISTRIBUTIONS , 1976 .

[10] P. Major. On the invariance principle for sums of independent identically distributed random variables , 1978 .

[11] Pascal Massart,et al. STRONG APPROXIMATION FOR MULTIVARIATE EMPIRICAL AND RELATED PROCESSES, VIA KMT CONSTRUCTIONS , 1989 .

[12] Emmanuel Rio,et al. Strong Approximation for Set-Indexed Partial-Sum Processes, Via KMT Constructions II , 1993 .

[13] Distances minimales et distances idéales , 1998 .

[14] D. A. Asymptotic Expansions Based on Smooth Functions in the Central Limit Theorem , 2022 .