Search Results - "Philippou, Andreas"
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1
The Modes of the Poisson Distribution of Order 3 and 4
Published in Entropy (Basel, Switzerland) (21-04-2023)“…In this article, new properties of the Poisson distribution of order with parameter λ are found. Based on them, the modes of the Poisson distributions of order…”
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2
Novel Results for Two Generalized Classes of Fibonacci and Lucas Polynomials and Their Uses in the Reduction of Some Radicals
Published in Mathematics (Basel) (01-07-2022)“…The goal of this study is to develop some new connection formulae between two generalized classes of Fibonacci and Lucas polynomials. Hypergeometric functions…”
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3
On the modes of the negative binomial distribution of order k, type I
Published in Communications in statistics. Simulation and computation (16-04-2021)“…Upper and lower bounds are derived for the modes of the negative binomial distribution of order k, type I, with parameter vector (r, p). The bounds are…”
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4
An Alternating Sum of Fibonacci and Lucas Numbers of Order k
Published in Mathematics (Basel) (01-09-2020)“…During the last decade, many researchers have focused on proving identities that reveal the relation between Fibonacci and Lucas numbers. Very recently, one of…”
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5
An application of negative binomial distribution of order k in sensitive surveys
Published in Communications in statistics. Simulation and computation (14-09-2017)“…This article is an attempt to generalize some of the recent papers on randomized response techniques by using the negative binomial distribution of order k to…”
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6
The reliability of a generalized consecutive system
Published in Applied mathematics and computation (15-10-2019)“…In the present paper we introduce a modified consecutive system, which generalizes consecutive systems extensively studied in the literature, and we obtain its…”
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7
Success run statistics defined on an urn model
Published in Advances in applied probability (01-12-2007)“…Statistics denoting the numbers of success runs of length exactly equal and at least equal to a fixed length, as well as the sum of the lengths of success runs…”
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8
The acidity and catalytic activity of heteropoly acid on MCM-41 investigated by MAS NMR, FTIR and catalytic tests
Published in Applied catalysis. A, General (01-02-2000)“…The potential of supported heteropoly acids (HPAs) is of great significance in acid catalysis. In this contribution, the HPA H 3PW 12O 40 (PW) was impregnated…”
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9
Shortest and longest length of success runs in binary sequences
Published in Journal of statistical planning and inference (01-07-2007)“…The shortest and the longest length of success runs statistics in binary sequences are considered. The sequences are arranged on a line or on a circle. Exact…”
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10
Distributions of patterns of two successes separated by a string of k-2 failures
Published in Statistical papers (Berlin, Germany) (01-05-2012)“…Let Z 1 , Z 2 , . . . be a sequence of independent Bernoulli trials with constant success and failure probabilities p = Pr ( Z t = 1) and q = Pr ( Z t…”
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11
Aldol-Type Reactions over Basic Microporous Titanosilicate ETS-10 Type Catalysts
Published in Journal of catalysis (25-01-2000)“…The catalytic performance of the microporous titanosilicate ETS-10-type catalysts for the aldol condensation of acetone has been investigated and compared with…”
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12
Polya, Inverse Polya, and Circular Polya Distributions of Order k for l-Overlapping Success Runs
Published in Communications in statistics. Theory and methods (09-03-2007)“…The Polya-Eggenberger sampling scheme is considered, i.e., a ball is drawn at random from an urn containing w white (success) balls and b black (failure)…”
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13
On binomial and circular binomial distributions of orderk forl-overlapping success runs of lengthk
Published in Statistical papers (Berlin, Germany) (01-07-2005)“…The number ofl-overlapping success runs of lengthk inn trials, which was introduced and studied recently, is presently reconsidered in the Bernoulli case and…”
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14
CIRCULAR POLYA DISTRIBUTIONS OF ORDER k
Published in International Journal of Mathematics and Mathematical Sciences (2003)“…Two circular Polya distributions of order k are derived by means of generalized urn models and by compounding, respectively, the type I and type II circular…”
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15
An identity relating Fibonacci and Lucas numbers of order k
Published in Electronic notes in discrete mathematics (01-12-2018)“…The following relation between Fibonacci and Lucas numbers of order k,∑i=0nmi[li(k)+(m−2)Fi+1(k)−∑j=3k(j−2)Fi−j+1(k)]=mn+1Fn+1(k)+k−2, is derived by means of…”
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16
GENERALIZED DISTRIBUTIONS OF ORDER k ASSOCIATED WITH SUCCESS RUNS IN BERNOULLI TRIALS
Published in International Journal of Mathematics and Mathematical Sciences (2003)“…In a sequence of independent Bernoulli trials, by counting multidimensional lattice paths in order to compute the probability of a first‐passage event, we…”
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17
A Structural Model Related to the Understanding of the Concept of Function: Definition and Problem Solving
Published in International journal of science and mathematics education (01-04-2017)“…This article focuses on exploring students’ understanding of the concept of function concerning three main aspects: secondary students’ ability to (1) define…”
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18
Multivariate Generalized Distributions of Order k
Published in Communications in statistics. Theory and methods (08-01-2003)“…The study of multivariate distributions of order k, two of which are the multivariate negative binomial of order k and the multinomial of the same order, was…”
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MULTIVARIATE GENERALIZED POLYA DISTRIBUTION OF ORDER k
Published in Communications in statistics. Theory and methods (12-01-2002)“…An order k (or cluster) generalized Polya distribution and a multivariate generalized Polya-Eggenberger one where derived in (Sen, K.; Jain, R. Cluster…”
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20
Why Do Polls Fail? The Case of Four US Presidential Elections, Brexit, and Two India General Elections
Published 29-07-2021“…One of the most widely known and important applications of probability and statistics is scientific polling to forecast election results. In 1936, Gallup…”
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