Marcinkiewicz-type strong law of large numbers for pairwise independent random fields

• Autorzy: Czerebak-Mrozowicz E. B. , Klesov O. I. , Rychlik Z.
• Języki publikacji: EN

Abstrakty

EN

We present the Marcinkiewicz-type strong law of large numbers for ran-dom fields{X_n, n ∈Z^d₊}of pairwise independent random variables, where Z^d₊, d≥1, is the set of positived-dimensional lattice points with coordinatewise partial ordering.

Słowa kluczowe

EN

strong law of large numbers; random variables; random fields

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2002
• Tom: Vol. 22, Fasc. 1
• Strony: 127--139
• Opis fizyczny: Biblogr. 7 poz.

Twórcy

autor

Czerebak-Mrozowicz E. B.

• Department of Mathematics Technical University of Rzeszów, ul. Wincentego Pola 2, 35-959 Rzeszów, Poland

autor

Klesov O. I.

• National Technical University of Ukraine, Department of Mathematics # 1, PR. Peremogy 37, Kyiv 252056, Ukraine

autor

Rychlik Z.

• Institute of Mathematics, Maria Curie-Skbdowska University, pl. Marii Curie Skłodowskiej 1, 20-031 Lublin, Poland
• Puławy High School, ul. 4. Pułku Piechoty WP 17, 24-100 Pulawy, Poland

Bibliografia

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• [4] D. H. Hong and S. Y. Hwang, Marcinkiewicz-type strong law of large numbers for double arrays of pairwise independent random variables, Internat. J. Math. Math. Sci. 22 (1999), pp. 171-177. ~
• [5] V. Y. Petrov, Limit Theorems for Sums of Independent Random Variables (in Russian), Nauka, Moscow 1987.
• [6] R. T. Smythe, Strong law of large numbers for r-dimensional arrays of random variables, Ann. Probab. 1 (1973), pp. 164-170.
• [7] R. T. Smythe, Sums of independent random variables on partially ordered sets, Ann. Probab. 2 (1974), pp. 906-917.