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greattom365木蟲 (著名寫手)
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懸賞50金,請(qǐng)高手幫忙翻譯幾句話
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| 摘 要:隨機(jī)變量獨(dú)立性在概率論中占據(jù)著十分重要的地位,是《概率論與數(shù)理統(tǒng)計(jì)》教材中的一個(gè)重點(diǎn),也是學(xué)生學(xué)習(xí)的一個(gè)難點(diǎn),因而其相關(guān)研究一直以來都被作為一個(gè)獨(dú)立的課題來進(jìn)行。隨機(jī)變量分為離散型隨機(jī)變量和連續(xù)型隨機(jī)變量,由于在數(shù)學(xué)研究中最常見的是連續(xù)型隨機(jī)變量,所以我們?cè)谘芯繒r(shí)側(cè)重于連續(xù)性隨機(jī)變量的獨(dú)立性研究。本文總結(jié)了幾種隨機(jī)變量獨(dú)立性的辨別方法,并給出了一個(gè)非常好用的判別隨機(jī)變量獨(dú)立性的充要條件。并對(duì)其進(jìn)行了詳細(xì)的證明推導(dǎo)。文中列舉了幾道具有針對(duì)性的例題來熟悉各種辨別法的應(yīng)用情況以及注意事項(xiàng)。 |

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Abstract: The independence of random variables in probability theory occupies a very important position. It is the key to the "Probability and Statistics" textbook , but also a difficulty of students, thus the related research has been being used as an independent subject . Random variables into discrete random variables and continuous random variables, and we study focused on the independence of continuous random variables as the most common in the mathematical study is the continuous random variable. This paper summarizes the identification of several independent random variables, and gives a very nice random variables determine the necessary and sufficient conditions for independence. And a detailed proof of its derivation. The paper cited a few more examples to become familiar with the targeted application of various identification methods and precautions. Keywords: Precautions Independence Probability theory Continuity Targeted |

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