An Introduction to Mathematical Statistics

  • Yu. A. Rozanov
Part of the Mathematics and Its Applications book series (MAIA, volume 344)


According to a common belief, the birth of a girl or of a boy are equiprobable events. Let us adopt this as the initial hypothesis, and check how it fits some available data. For example, in the period 1871–1900 there were n = 2, 644, 757 babies born in Switzerland including m = 1, 359, 671 boys and nm = 1, 285, 086 girls.* How well does this data agree with our hypothesis that the probability of a boy’s birth is 0.5? By calling the last event a ‘success’, let us discuss the data in the framework of n = 2, 644, 757 Bernoulli trials, with unknown success probability p; the corresponding frequency is
$$\frac{m}{n} = \frac{{1,359,671}}{{2,644,757}} = 0.5141. $$


Decision Rule Mathematical Statistic Independent Random Variable Fisher Information Joint Probability Distribution 
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Copyright information

© Springer Science+Business Media Dordrecht 1995

Authors and Affiliations

  • Yu. A. Rozanov
    • 1
  1. 1.Steklov Mathematical InstituteMoscowRussia

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