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In statistics, minimum chi-square estimation is a method of estimation of unobserved quantities based on observed data. In certain chi-square tests, one rejects a null hypothesis about a population distribution if a specified test statistic is too large, when that statistic would have approximately a chi-square distribution if the null hypothesis is true. In minimum chi-square estimation, one finds the values of parameters that make that test statistic as small as possible.

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  • In statistics, minimum chi-square estimation is a method of estimation of unobserved quantities based on observed data. In certain chi-square tests, one rejects a null hypothesis about a population distribution if a specified test statistic is too large, when that statistic would have approximately a chi-square distribution if the null hypothesis is true. In minimum chi-square estimation, one finds the values of parameters that make that test statistic as small as possible. Among the consequences of its use is that the test statistic actually does have approximately a chi-square distribution when the sample size is large. Generally, one reduces by 1 the number of degrees of freedom for each parameter estimated by this method. (en)
  • L'estimateur du χ² minimum est un estimateur statistique qui repose sur la minimisation d'une fonction χ². défend l'idée que le minimum du χ² est le principe fondamental d'estimation. (fr)
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  • L'estimateur du χ² minimum est un estimateur statistique qui repose sur la minimisation d'une fonction χ². défend l'idée que le minimum du χ² est le principe fondamental d'estimation. (fr)
  • In statistics, minimum chi-square estimation is a method of estimation of unobserved quantities based on observed data. In certain chi-square tests, one rejects a null hypothesis about a population distribution if a specified test statistic is too large, when that statistic would have approximately a chi-square distribution if the null hypothesis is true. In minimum chi-square estimation, one finds the values of parameters that make that test statistic as small as possible. (en)
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  • Estimateur du minimum du χ² (fr)
  • Minimum chi-square estimation (en)
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