On Logarithmically Asymptotically Optimal Testing of Hypotheses and Identification

Ahlswede, Rudolf; Haroutunian, Evgueni A.

doi:10.1007/11889342_33

Cited by 17 publications

(30 citation statements)

References 21 publications

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“…It is a generalization and improvement of the corresponding theorem proved in [2] for the cases K=2, M=2. Proof.…”

Section: Proof It Follows From the Independence Of The Objects Thatmentioning

confidence: 70%

“…In [1][2][3] Ahlswede and Haroutunian formulated an ensemble of new problems on multiple hypotheses testing for many objects and on identification of hypotheses. These problems are extensions of those investigated in the books mentioned in [4,5].…”

Section: Introductionmentioning

confidence: 99%

“…These problems are extensions of those investigated in the books mentioned in [4,5]. Problems of distribution identification and distributions ranking for one object were solved in [2]. Also the problem of hypotheses testing for the model consisting of two independent or two strictly dependent objects (when they cannot admit the same distribution) with two possible hypothetical distributions was investigated in [2].…”

Section: Introductionmentioning

confidence: 99%

“…Problems of distribution identification and distributions ranking for one object were solved in [2]. Also the problem of hypotheses testing for the model consisting of two independent or two strictly dependent objects (when they cannot admit the same distribution) with two possible hypothetical distributions was investigated in [2]. In this paper we study the specific characteristics of the model consisting of K(≥ 3) objects which independently of others follow one of given M(≥ 2) probability distributions.…”

Section: Introductionmentioning

confidence: 99%

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Multiple Hypotheses LAO Testing for Many Independent Objects

Haroutunian

Hakobyan

2009

Scholarly Research Exchange

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The procedure of many hypotheses logarithmically asymptotically optimal (LAO) testing for a model consisting of three or more independent objects is analyzed. It is supposed that M probability distributions are known and each object follows one of them independently of others. The matrix of asymptotic interdependencies (reliability-reliability functions) of all possible pairs of the error probability exponents (reliabilities) in optimal testing for this model is studied. This problem was introduced (and solved for the case of two objects and two given probability distributions) by Ahlswede and Haroutunian; it is a generalization of two hypotheses LAO testing problem for one object investigated

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“…It is a generalization and improvement of the corresponding theorem proved in [2] for the cases K=2, M=2. Proof.…”

Section: Proof It Follows From the Independence Of The Objects Thatmentioning

confidence: 70%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Multiple Hypotheses LAO Testing for Many Independent Objects

Haroutunian

Hakobyan

2009

Scholarly Research Exchange

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show abstract

“…This, still simple, problem may be considered as a beginning of the realization of the program proposed by Ahlswede. This investigation is a development of results from [3]- [9] and may be continued in various directions: the cases of many hypotheses, non complete side information, sources of more general classes (Markov chains, general distributions), identification of hypotheses in the sense of [10].…”

Section: Introductionmentioning

confidence: 99%