On Neyman-Pearson Testing for Pair of Independent Objects

Authors

  • Evgueni A. Haroutunian Institute for Informatics and Automation Problems of NAS RA
  • Parandzem M. Hakobyan Institute for Informatics and Automation Problems of NAS RA

Keywords:

Independent objects, Statistical hypotheses, Neyman-Pearson testing, Error probability

Abstract

The Neyman-Pearson principle for a model consisting of two independent objects is considered. It is supposed that two probability distributions are known and each object follows one of them independently. Two approaches of Neyman-Pearson testing are considered for this model. The aim is to compare error probabilities to the corresponding two cases.

References

R. F. Ahlswede and E. A. Haroutunian, "Testing of hypotheses and identification", Electronic Notes on Discrete Mathematics, vol. 21, pp. 185-189, 2005.

J. Neyman and E. S. Pearson, “On the problem of the most efficient tests of statistical hypotheses", Phil. Trans. Roy. Soc. London, Ser. A, 231, pp. 289-337, 1933.

J. Neyman, First Course in Probability and Statistics, Holt, Rinehart and Winston, New York, 1950.

E. L. Lehman and J.P. Romano, Testing statistical hypotheses, Third Edition. Springer, New York, 2005.

A. A. Borovkov, Mathematical Statistics, in Russian, Nauka, Moscow, 1997.

H. L. Van Trees, Detection, Estimation and Modulation Theory, Part 1. New York: Wiley, 1968.

M. H. DeGroot, Probability and Statistics, 2nd ed., Reading, MA, Addison-Wesley, 1986.

M. G. Kendall and A. Stuart, The Advanced Theory of Statistics, 2, Inference and relationship, Third edition. Hafner publishing company, London, 1961.

A. K. Bera, “Hypothesis testing in the 20-th century with a special reference to testing with misspecified models", In: “Statistics for the 21-st century. Methodologies for applications of the Fitire", Marcel Dekker, Inc., New York, Basel, pp. 33-92, 2000.

T. M. Cover and J. A. Thomas, Elements of Information Theory, Second Edition. Wiley, New York, 2006.

E. A. Haroutunian, “Neyman-Pearson principle for more than two hypotheses", Abstracts of Armenian Mathematical Union Annual Session Dedicated to 90 Anniversary of Rafael Alexandrian, Yerevan, pp.49-50, 2013.

E. A. Haroutunian and P. Hakobyan, “Neyman-Pearson principle for more than two hypotheses", Mathematical Problems of Computer Science vol. 40, pp. 34-38, 2013.

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Published

2021-12-10

How to Cite

Haroutunian, E. A. ., & Hakobyan, P. M. . (2021). On Neyman-Pearson Testing for Pair of Independent Objects. Mathematical Problems of Computer Science, 46, 103–106. Retrieved from http://mpcs.sci.am/index.php/mpcs/article/view/155

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