上概率下的Chebyshev大數(shù)定律
發(fā)布時間：2019-01-16 04:14
【摘要】：討論了非可加概率ω(·)和非可加期望E[·]的某些性質(zhì),并由上期望下隨機變量的獨立性概念,給出了上概率下的Chebyshev大數(shù)定律,它是經(jīng)典概率論中Chebyshev大數(shù)定律在非可加概率下的推廣.
[Abstract]:In this paper, some properties of non-additive probability 蠅 () and non-additive expectation E [] are discussed, and the Chebyshev's law of large numbers under upper probability is given by the concept of independence of random variables under upper expectation. It is a generalization of Chebyshev's law of large numbers in classical probability theory under non-additive probability.
【作者單位】： 濟寧學(xué)院數(shù)學(xué)系;山東大學(xué)數(shù)學(xué)學(xué)院;
【基金】：國家自然科學(xué)基金(71401061) 山東省高等學(xué)�？萍加媱濏椖�(J07WH03)
【分類號】：O211.4
[Abstract]:In this paper, some properties of non-additive probability 蠅 () and non-additive expectation E [] are discussed, and the Chebyshev's law of large numbers under upper probability is given by the concept of independence of random variables under upper expectation. It is a generalization of Chebyshev's law of large numbers in classical probability theory under non-additive probability.
【作者單位】： 濟寧學(xué)院數(shù)學(xué)系;山東大學(xué)數(shù)學(xué)學(xué)院;
【基金】：國家自然科學(xué)基金(71401061) 山東省高等學(xué)�？萍加媱濏椖�(J07WH03)
【分類號】：O211.4
【相似文獻】
相關(guān)期刊論文 前10條
1 楊子孝;Chebyshev多項式的若干新表征[J];山西大學(xué)學(xué)報(自然科學(xué)版);1979年Z1期
2 王全龍;對《弱Chebyshev集與樣條》一文的訂正和推廣[J];山西大學(xué)學(xué)報(自然科學(xué)版);1981年02期
3 周家斌;ON THE EXPANSION OF CHEBYSHEV POLYNOMIALS IN IRREGULAR GRIDS[J];A Monthly Journal of Science;1982年05期
4 孫燮華;THE EXACTLY POINTWISE DEGREE OF APPROXIMATION OF HERMITE-FEJ，
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