In this paper a new class of test-statistics is proposed. This class of statistical tests is particularly useful to test the null hypothesis that an arrival process is a Poisson process, and widely applicable to teletraffic problems, including telephone and packet-switched networks. After an introduction where a wide set of possible applications is examined (Section 1), in Sections 2 and 3 the class of test-statistics under examination is introduced, and its main theoretical properties are studied. In Section 4 a numerical evaluation (based on Monte Carlo simulation methods) of the power of the test is performed. Finally, in Section 5 an application to real data is considered.

On a procedure to test whether the random variables of a sequence are independent and identically distributed, with applications to telephone and packet-switched networks / P. L., Conti; DE GIOVANNI, Livia. - 1b:(1994), pp. 831-840.

On a procedure to test whether the random variables of a sequence are independent and identically distributed, with applications to telephone and packet-switched networks

DE GIOVANNI, LIVIA
1994

Abstract

In this paper a new class of test-statistics is proposed. This class of statistical tests is particularly useful to test the null hypothesis that an arrival process is a Poisson process, and widely applicable to teletraffic problems, including telephone and packet-switched networks. After an introduction where a wide set of possible applications is examined (Section 1), in Sections 2 and 3 the class of test-statistics under examination is introduced, and its main theoretical properties are studied. In Section 4 a numerical evaluation (based on Monte Carlo simulation methods) of the power of the test is performed. Finally, in Section 5 an application to real data is considered.
9780444820310
On a procedure to test whether the random variables of a sequence are independent and identically distributed, with applications to telephone and packet-switched networks / P. L., Conti; DE GIOVANNI, Livia. - 1b:(1994), pp. 831-840.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11385/6436
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