概率论

图书标准信息

• 作者 林正炎、苏中根 著
• 出版社 浙江大学出版社
• 出版时间 2008-08
• 版次 2
• ISBN 9787308045346
• 定价 15.00元
• 装帧 平装
• 开本 32开
• 纸张 胶版纸
• 页数 337页
• 字数 270千字
• 正文语种 英语

【内容简介】

　　《概率论》以英文的形式介绍了高等学校概率论方面的知识。Thesubjectmatterofprobabilitytheoryisthemathematicalanalysisofrandomevents，thatis,ofthoseempiricalphenomenawhichdonothavedeterministicregularitybutpossesssomestatisticalregularity.

【目录】

chapter1eventsandprobabilities
1.1randomphenomenaandstatisticalregularity
1.1.1randomphenomena
1.1.2thestatisticaldefinitionofprobability
1.2classicalprobabilitymodels
1.2.1samplepointsandsamplespaces
1.2.2classicalprobabilitymodels
1.2.3geometricprobabilitymodels
1.3theaxiomaticdefinitionofprobability
1.3.1events
1.3.2probabilityspace
1.3.3continuityofprobabilitymeasure
1.4conditionalprobabilityandindependentevents
1.4.1conditionalprobability
1.4.2totalprobabilityformulaandbayes’rule
1.4.3independentevents

chapter2randomvariablesanddistributionfunctions
2.1discreterandomvariables
2.1.1theconceptofrandomvariables
2.1.2discreterandomvariables
2.2distributionfunctionsandcontinuousrandomvariables
2.2.1distributionfunctions
2.2.2continuousrandomvariablesanddensityfunctions
2.2.3typicalcontinuousrandomvariables
2.3randomvectors
2.3.1discreterandomvectors
2.3.2jointdistributionfunctions
2.3.3continuousrandomvectors
2.4conditionaldistributionsandindependence
2.4.1conditionaldistributions
2.4.2independenceofrandomvariables
2.5functionsofrandomvariables
2.5.1functionsofdiscreterandomvariables
2.5.2functionsofcontinuousrandomvariables
2.5.3functionsofcontinuousrandomvectors
2.5.4transformsofrandomvectors
2.5.5importantdistributionsinstatistics

chapter3numericalcharacteristicsandcharacteristicfunctions
3.1mathematicalexpectations
3.1.1expectationsfordiscreterandomvariables
3.1.2expectationsofcontinuousrandomvariables
chapter4probabilitylimittheorems
appendixadistributionoftypicalrandomvariables
appendixbtables
index