Ping Yang Chen's Blog
2150年6月30日 星期二
About Posts which Tagged by 'Probability'
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$\star$ Contents Probability Theories Definitions Probability Measure Important Lemma and Theorems Convergence Theorems...
2015年9月7日 星期一
Varied Type of Borel-Cantelli Lemma II
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About Posts which Tagged by 'Probability' Let $\{E_n\}$ be arbitrary events in $\mathscr{F}$. If for each $m$, $\sum_{n>m}\ma...
2015年9月6日 星期日
Convergence of Moments (3)
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About Posts which Tagged by 'Probability' Let $\{X_n\}$ and $X$ be random variables. Let $0<r<\infty$, $X_n\in L^r$, and $X...
Convergence of Moments (2)
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About Posts which Tagged by 'Probability' Let $\{X_n\}$ and $X$ be random variables. If $X_n$ converges in distribution to $X$, a...
Convergence of Moments (1)
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About Posts which Tagged by 'Probability' Let $\{X_n\}$ and $X$ be random variables. If $X_n\rightarrow X$ a.e., then for every $...
2015年9月4日 星期五
Characteristic Functions
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About Posts which Tagged by 'Probability' For any random variable $X$ with probability measure $\mu$ and distribution function $F$...
2015年9月3日 星期四
Cantelli's Law of Large Numbers
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About Posts which Tagged by 'Probability' If $\{X_n\}$ are independent random variables such that the fourth moments $\mathscr{E}(...
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