第三百七十六章 社会学中的数学
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1662年,约翰葛兰特(graunt)和威廉配第(petty)出版了《对死亡率表的自然与政治观察》(naturalandpoliticalobservationsmadeuponthebillsofmortality)。它是最早的统计学书籍之一。
1671年,德维特(dewitt)出版了《关于人寿年金》(atreatiseonlifeannuities)。它包含了数学期望的想法。
1693年,哈雷(halley)出版了波兰城市布雷斯劳(现弗罗茨瓦夫)的死亡率表。他试图将人口中的死亡率和年龄相关联,并证明在未来人寿保险精算表的生产中具有非常大的影响力。
1710年,阿布丝诺(arbuthnot)在皇家学会发表了一份重要的统计报告,其中讨论了男婴出生率轻微超越了女婴出生率。这篇论文是概率在社会统计的首次应用。
1711年,乔瓦尼塞瓦(giovanniceva)出版了《关于金钱问题》(derenummeraria),数理经济学的最早期作品之一。
1718年,棣莫弗(demoivre)出版了《机会的学说》。统计独立性的定义与骰子和其他游戏的许多问题一起在该书出现。他还研究了死亡率统计数字和年金理论的基础。
1740年,辛普森出版了《机会的本质与规律》(treatiseonthenatureandlawsofchance)。这本概率论著大部分是基于棣莫弗的工作。
1785年,孔多塞侯爵(condorcet)出版了《论多数派决策的概率分析的应用》(essaisurl‘applicationdel‘analyseàlaprobabilitédesdécisionsrenduesàlapluralitédesvoix)。这是社会科学概率研究的重大进步。
1825年,冈珀茨(gompertz)给出了“冈珀茨死亡率定律”,它表明死亡率呈几何级数增长,因此当死亡率以对数标度绘制时,得到一条直线,称为“冈珀茨函数”。
1862年,杰文斯(jevons)向英国科学协会讲了《政治经济的一般数学理论》(generalmathematicaltheoryofpoliticaleconomy)。
1879年,雷克西斯(lexis)出版了《统计序列的稳定性理论》(onthetheoryofthestabilityofstatisticalseries),开始了时间序列的研究。
1908年,戈塞(gosset)引入“学生t检验”来处理小样本。
1908年,哈代(hardy)和温伯格(weinberg)提出了一个定律来描述显性遗传特征和隐性遗传特征在一个群体中如何传播。奠定了群体遗传学的数学基础。
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