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The Lognormal Distribution Is Characterized by Its Integer Moments

open access: yesMathematics
The lognormal moment sequence is considered. Using the fractional moments technique, it is first proved that the lognormal has the largest differential entropy among the infinite positively supported probability densities with the same lognormal-moments.
Pier Luigi Novi Inverardi, Aldo Tagliani
doaj   +2 more sources

Estimation of the Lognormal Distribution Function [PDF]

open access: yesThe Egyptian Statistical Journal, 1976
Minimum variance unbiased estimates of the lognormal distribution with parameters µ and σ² are given for all possible cases: when σ² is known, when µ is known and when both µ and σ² are unknown.
Essam Al-Hussaini
doaj   +1 more source

Inference with the lognormal distribution [PDF]

open access: yesJournal of Statistical Planning and Inference, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

On the Existence and Uniqueness of the Maximum Likelihood Estimators of Normal and Lognormal Population Parameters with Grouped Data

open access: yesJournal of Probability and Statistics, 2009
Lognormal distribution has abundant applications in various fields. In literature, most inferences on the two parameters of the lognormal distribution are based on Type-I censored sample data.
Jin Xia, Jie Mi, YanYan Zhou
doaj   +1 more source

Beyond Zipf's Law: The Lavalette Rank Function and Its Properties. [PDF]

open access: yesPLoS ONE, 2016
Although Zipf's law is widespread in natural and social data, one often encounters situations where one or both ends of the ranked data deviate from the power-law function.
Oscar Fontanelli   +4 more
doaj   +1 more source

Skewed distribution of spines is independent of presynaptic transmitter release and synaptic plasticity, and emerges early during adult neurogenesis

open access: yesOpen Biology, 2023
Dendritic spines are crucial for excitatory synaptic transmission as the size of a spine head correlates with the strength of its synapse. The distribution of spine head sizes follows a lognormal-like distribution with more small spines than large ones ...
Nina Rößler   +10 more
doaj   +1 more source

Research on fatigue life of steel wire ropes under impact loads based on double Pareto lognormal distribution

open access: yesAdvances in Mechanical Engineering, 2017
Fatigue damage is the most important failure mode of wire ropes, and models of cumulative fatigue damage of wire ropes under multiple impact loads have been proposed based on the principle of microdamage linear accumulation.
Ren Zhiqian, Chen Xun
doaj   +1 more source

The Truncated Lognormal Distribution as a Luminosity Function for SWIFT-BAT Gamma-Ray Bursts

open access: yesGalaxies, 2016
The determination of the luminosity function (LF) in Gamma ray bursts (GRBs) depends on the adopted cosmology, each one characterized by its corresponding luminosity distance.
Lorenzo Zaninetti
doaj   +1 more source

The mathematical formula of the intravaginal ejaculation latency time (IELT) distribution of lifelong premature ejaculation differs from the IELT distribution formula of men in the general male population [PDF]

open access: yesInvestigative and Clinical Urology, 2016
Purpose: To find the most accurate mathematical description of the intravaginal ejaculation latency time (IELT) distribution in the general male population. Materials and Methods: We compared the fitness of various well-known mathematical distributions
Paddy K.C. Janssen, Marcel D. Waldinger
doaj   +1 more source

On a Property of the Lognormal Distribution [PDF]

open access: yesJournal of the Royal Statistical Society Series B: Statistical Methodology, 1963
SUMMARY In this paper it is established that the lognormal distribution is not determined by its moments. Some brief comments are made on the set of distributions having the same moments as a lognormal distribution.
openaire   +2 more sources

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