Construction of confidence intervals based on Chebyshev՚s inequality and recurrent method

Author:

Ganicheva A. V.1,Ganichev A. V.2

Affiliation:

1. Tver State Agricultural Academy

2. Tver State Technical University

Abstract

The article presents a new method for constructing confidence intervals. A formula obtained on the basis of Chebyshev's inequality is used, it is applied in the recurrent method in the case of unknown variance. A new method for describing the direct and inverse Laplace functions is proposed. The developed methods can be used not only for normal distribution, but also for any other, as well as in the case when the type of distribution law of a random variable is unknown. The practical implementation is shown by a concrete example of calculating the confidence interval for the student's score obtained from the test results.

Publisher

Novosibirsk State University of Economics and Management - NSUEM

Reference19 articles.

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2. Ganicheva A.V., Ganichev A.V. Metod postroenija doveritel’nogo intervala dlja dispersii sluchajnoj velichiny [Method of constructing a confidence interval for the variance of a random variable], Vestnik NGUJeU [Vestnik NSUEM], 2021, no. 3, pp. 146–155.

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