A central limit theorem for sums of correlated products | Zendy

Hooghiemstra G. | Zendy; Keane M. | Zendy

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A central limit theorem for sums of correlated products

Author(s) -

Hooghiemstra G.,

Keane M.

Publication year - 1997

Publication title -

statistica neerlandica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.52

H-Index - 39

eISSN - 1467-9574

pISSN - 0039-0402

DOI - 10.1111/1467-9574.00035

Subject(s) - mathematics , central limit theorem , integer (computer science) , sequence (biology) , limit (mathematics) , combinatorics , discrete mathematics , law of large numbers , random variable , mathematical analysis , statistics , biology , computer science , genetics , programming language

Consider a sequence of random points placed on the nonnegative integers with i.i.d. geometric (1/2) interpoint spacings y i . Let x i denote the numbers of points placed at integer i . We prove a central limit theorem for the partial sums of the sequence x 0 y 0 , x 1 y 1 , . . . The problem is connected with a question concerning different bootstrap procedures.

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