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On the Distribution of the Coefficients of Some Polynomials

SIAM Journal on Applied Mathematics, 1968
The maximum number of ones and zeros and their distribution among the coefficients of some polynomials is given. It is shown that the coefficients of the polynomials $g_1 ( x ) = ( x^n + 1)/p( x )$ and $g_2 ( x ) = ( x^n + 1)[ ( x + 1)p( x )]$ and other relatedpolynomials have special distribution when $p( x )$ is a primitive polynomial, and these ...
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The distribution of binomial coefficients (modp)

Archiv der Mathematik, 1963
Gegeben sei die Primzahl \(p\). Für festes ganzes \(m \ge 1\) bezeichnen \(N(m)\), \(M(m)\), \(M_0(m)\), \(R(m)\) die Anzahl der \(\binom{m}{r}\), \(0\le r \le m\), wobei zusätzlich gilt für \(N(m)\): \(\binom{m}{r} \not\equiv0\pmod p\), für \(M(m)\): \(\binom{m}{r} \equiv \binom{m}{r-1} \not\equiv0\pmod p\), \(r\ne 0\), für \(M_0(m)\): \(\binom{m}{r ...
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ON THE DISTRIBUTION OF THE CORRELATION COEFFICIENT IN SMALL SAMPLES

Biometrika, 1932
IT was the original purpose of this study to attempt to discover the effect upon the distribution in random samples, particularly in small samples, of the productmiioment coefficient of correlation, r, when the samples are drawn from a non-normal instead of a normal population.
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On the distribution of the wavelet coefficient for a Poisson noise

Signal Processing, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Albert Bijaoui, Ghada Jammal
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THE APPROXIMATE DISTRIBUTION OF SERIAL CORRELATION COEFFICIENTS

Biometrika, 1956
Hotelling's suggestion of a 'circular' definition for the serial correlation coefficient was followed by considerable progress in the distribution theory of such modified statistics by R. L. Anderson (1942), Koopmans (1942), Dixon (1944), Madow (1945) and others.
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DISTRIBUTION OF BINOMIAL COEFFICIENTS AND DIGITAL FUNCTIONS

Journal of the London Mathematical Society, 2001
The distribution of binomial coefficients in residue classes modulo prime powers and with respect to the p-adic valuation is studied. For this purpose, general asymptotic results for arithmetic functions depending on blocks of digits with respect to q-ary expansions are established.
Barat, Guy, Grabner, Peter J.
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About the Calculation of the Coefficients of the Fleishman Distributions

Journal of Statistical Theory and Practice, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Distributions of 3D DCT coefficients for video

2009 IEEE International Conference on Acoustics, Speech and Signal Processing, 2009
The three-dimensional discrete cosine transform (3D DCT) has been proposed as an alternative to motion-compensated transform coding for video content. However, so far no definitive study has been done on the distribution of 3D DCT coefficients of video sequences. This study performs two goodness-of-fit tests, the Kolmogorov-Smirnov (KS) test and the x2-
Malavika Bhaskaranand, Jerry D. Gibson
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The distribution coefficient of cupferron

Analytica Chimica Acta, 1962
Abstract A spectrophotometric method (or the determination of the distribution coefficient of cupferron, based on a colour reaction of cupferron with sodium pentacyanoammine ferrate(II), is described. A value of 142 was obtained above pH 3 for chloroform and aqueous solutions of perchloric and hydrochloric acid.
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IDENTIFICATION OF COEFFICIENTS IN DISTRIBUTED PARAMETER MODELS

IFAC Proceedings Volumes, 1989
Abstract A partial differential equation model of a cantilevered beam with a tip mass at its free end is used to study damping in a composite. Four separate damping mechanisms consisting of air damping, strain rate damping, spatial hysteresis and time hysteresis are considered experimentally.
D.J. Inman, H.T. Banks
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