Strong law of large numbers forρ*-mixing sequences with different distributions

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Strong Law of Large Numbers for Ρ∗-mixing Sequences with Different Distributions

As for ρ∗-mixing sequences of random variables, Bryc and Smoleński [1] established the moments inequality of partial sums. Peligrad [10] obtained a CLT and established an invariance principles. Peligrad [11] established the Rosenthal-type maximal inequality. Utev and Peligrad [16] obtained invariance principles of nonstationary sequences. As for negatively associated (NA) random variables, Joag...

متن کامل

A Note on the Strong Law of Large Numbers

Petrov (1996) proved the connection between general moment conditions and the applicability of the strong law of large numbers to a sequence of pairwise independent and identically distributed random variables. This note examines this connection to a sequence of pairwise negative quadrant dependent (NQD) and identically distributed random variables. As a consequence of the main theorem ...

متن کامل

Strong Law of Large Numbers and Mixing for the Invariant Distributions of Measure-valued Diffusions

Let M(Rd) denote the space of locally finite measures on Rd and let M1(M(Rd)) denote the space of probability measures on M(Rd). Define the mean measure πν of ν ∈M1(M(Rd)) by πν(B) = ∫ M(Rd) η(B)dν(η), for B ⊂ R. For such a measure ν with locally finite mean measure πν , let f be a nonnegative, locally bounded test function satisfying < f, πν >= ∞. ν is said to satisfy the strong law of large n...

متن کامل

MARCINKIEWICZ-TYPE STRONG LAW OF LARGE NUMBERS FOR DOUBLE ARRAYS OF NEGATIVELY DEPENDENT RANDOM VARIABLES

In the following work we present a proof for the strong law of large numbers for pairwise negatively dependent random variables which relaxes the usual assumption of pairwise independence. Let be a double sequence of pairwise negatively dependent random variables. If for all non-negative real numbers t and , for 1 < p < 2, then we prove that (1). In addition, it also converges to 0 in ....

متن کامل

On the Strong Law of Large Numbers

N lim 1( 1: f(nkx)) = 0, N-N k_l or roughly speaking the strong law of large numbers holds for f(nkx) (in fact the authors prove that Ef(nkx)/k converges almost everywhere) . The question was raised whether (2) holds for any f(x) . This was known for the case nk=2k( 2) . In the present paper it is shown that this is not the case . In fact we prove the following theorem . THEOREM 1 . There exist...

متن کامل

ذخیره 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: Discrete Dynamics in Nature and Society

سال: 2006

ISSN: 1026-0226,1607-887X

DOI: 10.1155/ddns/2006/27648