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On Poisson Mixture of Lognormal Distributions
Lobachevskii Journal of Mathematics, 2020Generally, jump-diffusion processes used in finance are confined to the processes with Brownian motion, constant trend and jump component, described by compound Poisson processes (CPP). CPP is usually defined by a sum of standard normal distributions. In most applications one either needs moments or characteristic function of the process.
Kechejian, H. +2 more
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Pseudo‐Lognormal Distributions
Ecology, 1981Some statistical “distributions” which, when plotted on an “arithmetical” basis, do not in the least resemble a normal or Gaussian distribution, become very similar to one when plotted on a logarithmic or “geometrical” basis. In this paper I examine in particular the difference of two declining exponential curves, and, as a special case, a simple ...
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Estimation of Lognormal Distributions
American Journal of Mathematical and Management Sciences, 1981SYNOPTIC ABSTRACTIn a previous paper, the authors considered modifications of local maximum likelihood estimators for parameters of the three-parameter lognormal distribution which employ the first, second or third order statistic. This paper examines conditional maximum likelihood estimators which employ derivatives of the log-likelihood function with
A. Clifford Cohen, Betty Jones Whitten
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Blvariate Lognormal Probability Distribution
Journal of Structural Engineering, 1984A procedure for computing structural reliability for the case where the load and resistance (or stress and strength) are lognormally distributed and correlated is presented. Computational steps are outlined and a typical application is illustrated by means of an example problem. The example problem compares the case where the two random variables (load
Nick T. Thoimopoulos, Anatol Longinow
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Is Alcohol Consumption Lognormally Distributed?
British Journal of Addiction, 1980SummaryThe empirical evidence for the hypothesis of lognormality is reviewed. A theoretical, argument suggesting systematic deviations from lognormality is outlined, and some ‘new’ data are presented.
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Are electromigration failures lognormally distributed?
28th Annual Proceedings on Reliability Physics Symposium, 1990Electromigration lifetests performed on a variety of Al alloy films to study the form of the failure distribution are discussed. Sample sizes ranged from 35 to 120, allowing exploration near the 1% failure level. Results show that the lognormal rather than the logarithmic extreme value distribution holds where the grain size is smaller than the ...
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1999
As already mentioned in sections 4.3, 5.1, 9.1 and 12.7, the normal distribution is not always completely suitable in biology because many biological variates cannot take negative numerical values and have positively skewed frequency distributions (sections 13.2 and 13.7). The lognormal distribution is often better adapted to biological data. While the
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As already mentioned in sections 4.3, 5.1, 9.1 and 12.7, the normal distribution is not always completely suitable in biology because many biological variates cannot take negative numerical values and have positively skewed frequency distributions (sections 13.2 and 13.7). The lognormal distribution is often better adapted to biological data. While the
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Poisson-Lognormal Distributions
2018The Poisson-lognormal distribution was suggested as a model for commonness of species by Preston. The analysis leading him to suggest this distribution was as follows: Suppose that the number of each species caught in a trap is assumed to be a single sample from a Poisson distribution with mean λ. R. S. Uhler and P. G.
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Lognormal Distributions and Properties
1999If Y is normally distributed with mean μ and variance σ2, then the random variable X defined by the relationship Y =log(X - γ) is distributed as lognormal, and is denoted as lognormal(γ,μ,σ2).
N. Balakrishnan, William W. S. Chen
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Lognormal-type distributions—III
Geochimica et Cosmochimica Acta, 1957Abstract Aspects of recent papers by Miller and Goldberg , and by Aubrey , are discussed, and further examples of lognormal-type distributions are given. There is now a large body of evidence to show that lognormal-type distributions are very common indeed. Attention is drawn to extreme positive skewness in a histogram of grain-size distribution
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