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論隨機(jī)變量函數(shù)的分布
論隨機(jī)變量函數(shù)的分布
摘要
概率論是從隨機(jī)變量的分布出發(fā)研究隨機(jī)現(xiàn)象的統(tǒng)計(jì)規(guī)律的,因此關(guān)于隨機(jī)變量的分布是概率論中的核心內(nèi)容,而隨機(jī)變量函數(shù)的分布又是這1核心內(nèi)容的拓展與深化.對(duì)于隨機(jī)變量函數(shù)的分布,本文論述了它的重要作用,提煉了它的知識(shí)結(jié)構(gòu),系統(tǒng)地論述了隨機(jī)變量的各種變換.在此基礎(chǔ)上,討論了各分布之間的變換關(guān)系及性質(zhì),并給出了若干應(yīng)用.這對(duì)于概率論知識(shí)結(jié)構(gòu)的掌握和應(yīng)用具有1定的參考價(jià)值.
關(guān)鍵詞:隨機(jī)變量函數(shù);分布函數(shù);分布密度;卷積公式.
By Random Variable Function Distribution
ABSTRACT
Probability theory starting from the distribution of random variables in the statistical study of random phenomena, and therefore on ution of random variables probability theory is the core content and function of the distribution of random variables is the core content to expand and deepen. Regarding the random variable function distribution, this article elaborated its vital role, has refined its knowledge structure, systematically elaborated random variable each kind of transformation. in this foundation, discussed between each distribution transformation relations and the nature, and produced certain application. this to have the certain reference value regarding theory of probability knowledge structure grasping with the application.
Key word: Random variable function;distribution function;density of distribution;Convolution formula
目錄
中文題目…………………………………………………………………………(1)
中文摘要和關(guān)鍵詞………………………………………………………………(1)
英文題目…………………………………………………………………………(1)
英文摘要和關(guān)鍵詞………………………………………………………………(1)
前言………………………………………………………………………………(2)
正文………………………………………………………………………………(4)
§1有關(guān)隨機(jī)變量函數(shù)的分布的知識(shí)結(jié)構(gòu)圖……………………………(4)
§2隨機(jī)變量的常用變換…………………………………………………(4)
§3應(yīng)用舉例………………………………………………………………(21)
§4小結(jié)……………………………………………………………………(28)
參考文獻(xiàn)…………………………………………………………………………(29)
致謝………………………………………………………………………………(30)
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