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Strong laws are established for linear statistics thatare weighted sums of a random sample. We show extensions of theMarcinkiewicz-Zygmund strong laws under certain moment condi-tions on both the weights and the distribution. The result obtainedextends and sharpens the result of Sung ([12]).
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참고문헌 (11)
참고문헌 신청
/ 1949 / On a theorem ofHsu-Robbins : 286 ~
/ 1983 / \it Negativeassociated of random variables with application} : 286 ~
/ 1987 / Almost sure convergence theorems of weighted sums of random variables : 365 ~ 377
/ 1995 / A strong law for weighted sums of i.i.d. random variables : 625 ~ 641
/ 1995. / Limittheorems of probability theory sequences of independent randomvariables
/ 1983 / \it Negativeassociated of random variables with application} : 286 ~
/ 1987 / Almost sure convergence theorems of weighted sums of random variables : 365 ~ 377
/ 1995 / A strong law for weighted sums of i.i.d. random variables : 625 ~ 641
/ 1995. / Limittheorems of probability theory sequences of independent randomvariables
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