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The Expected Number of Maxima of a Random Algebraic Polynomial with Independently Normally Distributed Random Variables |
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PP: 149-162 |
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doi:10.18576/jant/030212
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Author(s) |
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Manas Kumar Pal,
Somnath Bagh,
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Abstract |
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The expected number of maxima of the curve representing the algebraic polynomial of the form
+ + +………+ , where are independent standard random variables, are known. In this paper we provide an asymptotic estimate for the expected number of maxima for non zero mean and variance . The result shows a significant difference in mathematical behavior between our polynomial and which was previously studied.
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