Precise large deviations for widely orthant dependent random variables with different distributions
نویسندگان
چکیده
منابع مشابه
Precise large deviations for widely orthant dependent random variables with different distributions
Let [Formula: see text] be a sequence of random variables with different distributions [Formula: see text]. The partial sums are denoted by [Formula: see text], [Formula: see text]. This paper mainly investigates the precise large deviations of [Formula: see text], for the widely orthant dependent random variables [Formula: see text]. Under some mild conditions, the lower and upper bounds of th...
متن کاملThe inverse moment for widely orthant dependent random variables
In this paper, we investigate approximations of the inverse moment model by widely orthant dependent (WOD) random variables. Let {Zn,n≥ 1} be a sequence of nonnegative WOD random variables, and {wni , 1≤ i≤ n,n≥ 1} be a triangular array of nonnegative nonrandom weights. If the first moment is finite, then E(a + ∑n i=1wniZi) –α ∼ (a +∑ni=1wniEZi)–α for all constants a > 0 and α > 0. If the rth m...
متن کاملRosenthal’s Type Inequalities for Negatively Orthant Dependent Random Variables
In this paper, we obtain some Rosenthal’s type inequalities for negatively orthant dependent (NOD) random variables.
متن کاملON THE LAWS OF LARGE NUMBERS FOR DEPENDENT RANDOM VARIABLES
In this paper, we extend and generalize some recent results on the strong laws of large numbers (SLLN) for pairwise independent random variables [3]. No assumption is made concerning the existence of independence among the random variables (henceforth r.v.’s). Also Chandra’s result on Cesàro uniformly integrable r.v.’s is extended.
متن کاملLarge deviations for sums of partly dependent random variables
We use and extend a method by Hoeffding to obtain strong large deviation bounds for sums of dependent random variables with suitable dependency structure. The method is based on breaking up the sum into sums of independent variables. Applications are given to U -statistics, random strings and random graphs.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2018
ISSN: 1029-242X
DOI: 10.1186/s13660-018-1613-2