Central limit theorems for random stain

• Autorzy: Ebrahim H. H.
• Języki publikacji: EN

Abstrakty

EN

The Central Limit Theorem in R and Rⁿ is proved for two-parameter stochastic process proposed in [6] as a model of a stain of pollution.

Słowa kluczowe

EN

Central Limit Theorem; two-parameter stochastic process; Poisson process; covariance matrix

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2004
• Tom: Vol. 24, Fasc. 2
• Strony: 321--338
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Ebrahim H. H.

• Faculty of Mathematics, University of Łódź, ul. Stefana Banacha 22, 90-238 Łódź, Poland

Bibliografia

• [1] P. Billingsley, Probability and Measure, Wiley, New York-Toronto 1979.
• [2] C.-G. Esseen, On the remainder term in the Central Limit Theorem, Ark. Mat. 8 (2) (1969), pp. 7-15.
• [3] W. Feller, An Introduction to Probability Theory and its Applications, Vol. II, Wiley, New York 1966.
• [4] I. I. Gikhman and A. V. Skorokhod, Introduction to the Theory of Random Processes, W. B. Saunders Company, 1969.
• [5] E. Hensz-Chądzyńska, R. Jajte, and A. Paszkiewicz, Random stain, Preprint 1996/7, Wydział Matematyki, Uniwersytet Łódzki, Łódź 1996.
• [6] E. Hensz- Chądzyńska, R. Jajte, and A. Paszkiewicz, Random stain, Probab. Math. Statist. 18 (1) (1998), pp. 199-218.
• [7] C. R. Rao, Modele liniowe statystyki matematycznej, PWN, Warszawa 1982.