On connection coefficients of some perturbed of arbitrary order of the Chebyshev polynomials of second kind
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DOI: 10.1080/10236198.2018.1561880
Abstract: ABSTRACTOrthogonal polynomials satisfy a recurrence relation of order two defined by two sequences of coefficients. If we modify one of these recurrence coefficients at a certain order, we obtain t... read more here.
Keywords: order chebyshev; order; perturbed arbitrary; coefficients perturbed ... See more keywords
Second Order Chebyshev–Edgeworth-Type Approximations for Statistics Based on Random Size Samples
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DOI: 10.3390/math11081848
Abstract: This article completes our studies on the formal construction of asymptotic approximations for statistics based on a random number of observations. Second order Chebyshev–Edgeworth expansions of asymptotically normally or chi-squared distributed statistics from samples with… read more here.
Keywords: approximations statistics; order chebyshev; second order; chebyshev edgeworth ... See more keywords