1995, ISBN 9782884491921, xxv, 638

Book

Chemical Engineering Communications, ISSN 0098-6445, 08/2018, Volume 205, Issue 8, pp. 1105 - 1118

Bubble size distribution (BSD) is relevant to the design of gas-liquid systems, as it determines the interfacial area available in heat and mass transfer...

J, Johnson distribution | BS, Birnbaum-Saunders distribution | N, normal distribution | LH4, four parameter log-hyperbolic distribution | RR, Rosin-Rammler distribution | Sauter mean diameter | G, gamma distribution | LL, log-logistic distribution | particle size distribution | UL3, upper limit distribution | BE, bi-exponential distribution | two-phase flow | BSD, bubble size distribution | G-L, gas-liquid | CDF, cumulative distribution function | PSD, particle size distribution | Rosin-Rammler distribution | LN, log-normal distribution | Nukiyama-Tanasawa distribution | probability density function | IG, inverse Gaussian distribution | CFD, computational fluid dynamics | PDF, probability density function | NT3, three-parameter Nukiyama-Tanasawa distribution | F, Frechet distribution | NT, two-parameter Nukiyama-Tanasawa distribution | Rosin–Rammler distribution | Nukiyama–Tanasawa distribution | NT, two-parameter Nukiyama–Tanasawa distribution | RR, Rosin–Rammler distribution | NT3, three-parameter Nukiyama–Tanasawa distribution | G–L, gas–liquid | BS, Birnbaum–Saunders distribution | ENGINEERING, CHEMICAL | ROSIN-RAMMLER | Size distribution | Parameters | Tanks | Aeration tanks | Water distribution | Rushton turbines | Rosin | Mass transfer | Probability density functions | Gas-liquid systems | Data transfer (computers) | Bubbles | Dissipation | Water tanks | Mathematical models

J, Johnson distribution | BS, Birnbaum-Saunders distribution | N, normal distribution | LH4, four parameter log-hyperbolic distribution | RR, Rosin-Rammler distribution | Sauter mean diameter | G, gamma distribution | LL, log-logistic distribution | particle size distribution | UL3, upper limit distribution | BE, bi-exponential distribution | two-phase flow | BSD, bubble size distribution | G-L, gas-liquid | CDF, cumulative distribution function | PSD, particle size distribution | Rosin-Rammler distribution | LN, log-normal distribution | Nukiyama-Tanasawa distribution | probability density function | IG, inverse Gaussian distribution | CFD, computational fluid dynamics | PDF, probability density function | NT3, three-parameter Nukiyama-Tanasawa distribution | F, Frechet distribution | NT, two-parameter Nukiyama-Tanasawa distribution | Rosin–Rammler distribution | Nukiyama–Tanasawa distribution | NT, two-parameter Nukiyama–Tanasawa distribution | RR, Rosin–Rammler distribution | NT3, three-parameter Nukiyama–Tanasawa distribution | G–L, gas–liquid | BS, Birnbaum–Saunders distribution | ENGINEERING, CHEMICAL | ROSIN-RAMMLER | Size distribution | Parameters | Tanks | Aeration tanks | Water distribution | Rushton turbines | Rosin | Mass transfer | Probability density functions | Gas-liquid systems | Data transfer (computers) | Bubbles | Dissipation | Water tanks | Mathematical models

Journal Article

1993, Oxford science publications., ISBN 0198522436, xi, 256

Book

IEEE Transactions on Communications, ISSN 0090-6778, 01/2016, Volume 64, Issue 1, pp. 416 - 428

We propose a novel performance analysis framework for lossless- and truncated-hybrid automatic repeat request (HARQ) that enables neat, general, closed-form...

Fading | Truncated-HARQ | ARQ | Laplace equations | Exponential distribution | Retransmission | Redundancy | Hybrid-ARQ (HARQ) | Throughput | Performance optimization | Decoding | Lossless-HARQ | Repetition redundancy | Matrix exponential distribution | Rational Laplace transform | Chase combining | Incremental redundancy | Automatic repeat request | PERFORMANCE | truncated-HARQ | lossless-HARQ | rational Laplace transform | TELECOMMUNICATIONS | chase combining | repetition redundancy | ENGINEERING, ELECTRICAL & ELECTRONIC | incremental redundancy | SCHEME | matrix exponential distribution | retransmission | throughput | performance optimization | DELAY | ERROR-CONTROL | Equivalence | Mathematical analysis | Exact solutions | Laplace transforms | Channels | Probability density functions | Optimization | Kommunikationssystem | Electrical Engineering, Electronic Engineering, Information Engineering | Teknik och teknologier | Communication Systems | Engineering and Technology | Elektroteknik och elektronik

Fading | Truncated-HARQ | ARQ | Laplace equations | Exponential distribution | Retransmission | Redundancy | Hybrid-ARQ (HARQ) | Throughput | Performance optimization | Decoding | Lossless-HARQ | Repetition redundancy | Matrix exponential distribution | Rational Laplace transform | Chase combining | Incremental redundancy | Automatic repeat request | PERFORMANCE | truncated-HARQ | lossless-HARQ | rational Laplace transform | TELECOMMUNICATIONS | chase combining | repetition redundancy | ENGINEERING, ELECTRICAL & ELECTRONIC | incremental redundancy | SCHEME | matrix exponential distribution | retransmission | throughput | performance optimization | DELAY | ERROR-CONTROL | Equivalence | Mathematical analysis | Exact solutions | Laplace transforms | Channels | Probability density functions | Optimization | Kommunikationssystem | Electrical Engineering, Electronic Engineering, Information Engineering | Teknik och teknologier | Communication Systems | Engineering and Technology | Elektroteknik och elektronik

Journal Article

Journal of Applied Statistics, ISSN 0266-4763, 01/2012, Volume 39, Issue 1, pp. 21 - 38

In this paper, a new compounding distribution, named the Weibull-Poisson distribution is introduced. The shape of failure rate function of the new compounding...

failure rate function | information matrix | Poisson distribution | Weibull distribution | EM algorithm | maximum likelihood estimation | GAMMA | DECREASING FAILURE RATE | BATHTUB | STATISTICS & PROBABILITY | EXPONENTIAL-DISTRIBUTIONS | Failure rates | Parameter estimation | Quantiles | Mathematical analysis | Compounding | Applied statistics | Density | Survival

failure rate function | information matrix | Poisson distribution | Weibull distribution | EM algorithm | maximum likelihood estimation | GAMMA | DECREASING FAILURE RATE | BATHTUB | STATISTICS & PROBABILITY | EXPONENTIAL-DISTRIBUTIONS | Failure rates | Parameter estimation | Quantiles | Mathematical analysis | Compounding | Applied statistics | Density | Survival

Journal Article

Reliability Engineering and System Safety, ISSN 0951-8320, 2006, Volume 91, Issue 6, pp. 689 - 697

The exponential distribution is perhaps the most widely applied statistical distribution for problems in reliability. In this note, we introduce a...

Beta exponential distribution | Rényi entropy | Kurtosis | GAMMA | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | beta exponential distribution | WEIBULL-DISTRIBUTION | kurtosis | ENGINEERING, INDUSTRIAL | Renyi entropy | FAMILY | MOMENTS

Beta exponential distribution | Rényi entropy | Kurtosis | GAMMA | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | beta exponential distribution | WEIBULL-DISTRIBUTION | kurtosis | ENGINEERING, INDUSTRIAL | Renyi entropy | FAMILY | MOMENTS

Journal Article

Macromolecular Chemistry and Physics, ISSN 1022-1352, 04/2013, Volume 214, Issue 7, pp. 844 - 852

A compressed exponential function (CEF) is shown to be represented by a distribution of Gaussian functions. The properties and characteristics of the...

Gaussian functions | compressed exponential functions | calculations | NMR spectroscopy | distributions | POLYMER SCIENCE | SOLID-STATE NMR | NETWORK STRUCTURE | INVERSION | WILLIAMS-WATTS | SPIN-LATTICE-RELAXATION | PHASE | RELAXOMETRY | Nuclear magnetic resonance spectroscopy | Carbonates | Anhydrides | Polypropylenes | Decay | Exponential functions | Constants | Gaussian | Laplace transforms | Compressed

Gaussian functions | compressed exponential functions | calculations | NMR spectroscopy | distributions | POLYMER SCIENCE | SOLID-STATE NMR | NETWORK STRUCTURE | INVERSION | WILLIAMS-WATTS | SPIN-LATTICE-RELAXATION | PHASE | RELAXOMETRY | Nuclear magnetic resonance spectroscopy | Carbonates | Anhydrides | Polypropylenes | Decay | Exponential functions | Constants | Gaussian | Laplace transforms | Compressed

Journal Article

Journal of Statistical Computation and Simulation, ISSN 0094-9655, 05/2011, Volume 81, Issue 5, pp. 645 - 657

For the first time, we propose the Weibull-geometric (WG) distribution which generalizes the extended exponential-geometric (EG) distribution introduced by...

information matrix | exponential distribution | hazard function | geometric distribution | Weibull distribution | EM algorithm | maximum likelihood estimation | Maximum likelihood estimation | Hazard function | Exponential distribution | Em algorithm | Geometric distribution | Information matrix | LIFETIME DISTRIBUTION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | STATISTICS & PROBABILITY | Failure rates | Algorithms | Mathematical analysis | Entropy | Hazards | Mathematical models | Density | Statistics - Methodology

information matrix | exponential distribution | hazard function | geometric distribution | Weibull distribution | EM algorithm | maximum likelihood estimation | Maximum likelihood estimation | Hazard function | Exponential distribution | Em algorithm | Geometric distribution | Information matrix | LIFETIME DISTRIBUTION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | STATISTICS & PROBABILITY | Failure rates | Algorithms | Mathematical analysis | Entropy | Hazards | Mathematical models | Density | Statistics - Methodology

Journal Article

Computational Statistics and Data Analysis, ISSN 0167-9473, 2007, Volume 51, Issue 9, pp. 4497 - 4509

A new two-parameter distribution with decreasing failure rate is introduced. Various properties of the introduced distribution are discussed. The EM algorithm...

Maximum likelihood estimation | Exponential distribution | Compounding | Decreasing failure rate | Zero truncated Poisson distribution | Lifetime distributions | EM algorithm | GAMMA | STATISTICS & PROBABILITY | EXPONENTIAL-DISTRIBUTIONS | decreasing failure rate | maximum likelihood estimation | compounding | lifetime distributions | exponential distribution | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MONOTONE HAZARD RATE | MAXIMUM-LIKELIHOOD ESTIMATION | CENSORED-DATA | MODELS | BOUNDS | zero truncated Poisson distribution | Algorithms

Maximum likelihood estimation | Exponential distribution | Compounding | Decreasing failure rate | Zero truncated Poisson distribution | Lifetime distributions | EM algorithm | GAMMA | STATISTICS & PROBABILITY | EXPONENTIAL-DISTRIBUTIONS | decreasing failure rate | maximum likelihood estimation | compounding | lifetime distributions | exponential distribution | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MONOTONE HAZARD RATE | MAXIMUM-LIKELIHOOD ESTIMATION | CENSORED-DATA | MODELS | BOUNDS | zero truncated Poisson distribution | Algorithms

Journal Article

Statistics and Probability Letters, ISSN 0167-7152, 2009, Volume 79, Issue 17, pp. 1839 - 1846

In this paper we consider the estimation of the stress–strength parameter , when and are independent and both are three-parameter Weibull distributions with...

STRESS-STRENGTH | STATISTICS & PROBABILITY | P(Y-LESS-THAN-X) | RELIABILITY | INFERENCE | GENERALIZED EXPONENTIAL-DISTRIBUTION

STRESS-STRENGTH | STATISTICS & PROBABILITY | P(Y-LESS-THAN-X) | RELIABILITY | INFERENCE | GENERALIZED EXPONENTIAL-DISTRIBUTION

Journal Article

Mathematical Finance, ISSN 0960-1627, 04/2016, Volume 26, Issue 2, pp. 395 - 411

We propose to interpret distribution model risk as sensitivity of expected loss to changes in the risk factor distribution, and to measure the distribution...

maximum entropy principle | relative entropy | multiple priors | divergence preferences | convex integral functional | Bregman distance | f‐divergence | generalized exponential family | Divergence preferences | Convex integral functional | Generalized exponential family | Relative entropy | f-divergence | Maximum entropy principle | Multiple priors | MAXIMUM-ENTROPY | BUSINESS, FINANCE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS | Studies | Economic theory | Risk management

maximum entropy principle | relative entropy | multiple priors | divergence preferences | convex integral functional | Bregman distance | f‐divergence | generalized exponential family | Divergence preferences | Convex integral functional | Generalized exponential family | Relative entropy | f-divergence | Maximum entropy principle | Multiple priors | MAXIMUM-ENTROPY | BUSINESS, FINANCE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS | Studies | Economic theory | Risk management

Journal Article

Journal of the Royal Statistical Society. Series C (Applied Statistics), ISSN 0035-9254, 1/2005, Volume 54, Issue 1, pp. 127 - 142

A useful discrete distribution (the Conway-Maxwell-Poisson distribution) is revived and its statistical and probabilistic properties are introduced and...

Datasets | Maximum likelihood estimation | Statistical variance | Approximation | Binomial distributions | Sales distribution | Least squares | Mathematical independent variables | Binomials | Estimation methods | Exponential family | Conjugate family | Overdispersion | Conway–Maxwell–Poisson distribution | Estimation | Underdispersion | Conway-Maxwell-Poisson distribution | estimation | REGRESSION | MODELS | underdispersion | conjugate family | STATISTICS & PROBABILITY | exponential family | overdispersion | Studies | Bayesian analysis | Statistical analysis

Datasets | Maximum likelihood estimation | Statistical variance | Approximation | Binomial distributions | Sales distribution | Least squares | Mathematical independent variables | Binomials | Estimation methods | Exponential family | Conjugate family | Overdispersion | Conway–Maxwell–Poisson distribution | Estimation | Underdispersion | Conway-Maxwell-Poisson distribution | estimation | REGRESSION | MODELS | underdispersion | conjugate family | STATISTICS & PROBABILITY | exponential family | overdispersion | Studies | Bayesian analysis | Statistical analysis

Journal Article

Lithuanian Mathematical Journal, ISSN 0363-1672, 7/2019, Volume 59, Issue 3, pp. 366 - 388

In this paper, we study a wide and flexible family of discrete distributions, the so-called generalized negative binomial (GNB) distributions, which are mixed...

normal mixture | random sum | Probability Theory and Stochastic Processes | Bernoulli trials | random Poisson theorem | Mathematics | Actuarial Sciences | mixed geometric distribution | Rényi theorem | strictly stable distribution | Laplace distribution | Ordinary Differential Equations | random sample size | Linnik distribution | mixed Poisson distribution | negative binomial distribution | mixed exponential distribution | Mathematics, general | generalized gamma distribution,Weibull distribution | mixed binomial distribution | Number Theory | Mittag-Leffler distribution | 60E07 | 60F05

normal mixture | random sum | Probability Theory and Stochastic Processes | Bernoulli trials | random Poisson theorem | Mathematics | Actuarial Sciences | mixed geometric distribution | Rényi theorem | strictly stable distribution | Laplace distribution | Ordinary Differential Equations | random sample size | Linnik distribution | mixed Poisson distribution | negative binomial distribution | mixed exponential distribution | Mathematics, general | generalized gamma distribution,Weibull distribution | mixed binomial distribution | Number Theory | Mittag-Leffler distribution | 60E07 | 60F05

Journal Article

Journal of Statistical Computation and Simulation, ISSN 0094-9655, 08/2012, Volume 82, Issue 8, pp. 1191 - 1206

In this paper, we introduce a new distribution generated by gamma random variables. We show that this distribution includes as a special case the distribution...

62E99 | exponentiated exponential distribution | lower record values | gamma-generated distribution | generalized exponential distribution | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | STATISTICS | FAILURE RATE | STATISTICS & PROBABILITY | FAMILY | Illustrations | Population (statistical) | Computer simulation | Computation | Data sets | Mathematical models | Random variables

62E99 | exponentiated exponential distribution | lower record values | gamma-generated distribution | generalized exponential distribution | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | STATISTICS | FAILURE RATE | STATISTICS & PROBABILITY | FAMILY | Illustrations | Population (statistical) | Computer simulation | Computation | Data sets | Mathematical models | Random variables

Journal Article

Mathematics and Computers in Simulation, ISSN 0378-4754, 2008, Volume 78, Issue 4, pp. 493 - 506

A treatment of the mathematical properties is provided for the Lindley distribution. The properties studied include: moments, cumulants, characteristic...

Exponential distribution | Lindley distribution | Waiting time data | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | exponential distribution | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | waiting time data

Exponential distribution | Lindley distribution | Waiting time data | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | exponential distribution | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | waiting time data

Journal Article

Frontiers of Mathematics in China, ISSN 1673-3452, 12/2017, Volume 12, Issue 6, pp. 1515 - 1525

We prove that there are infinite cube-free numbers of the form [n c ] for any fixed real number c ∈ (1, 11/6).

asymptotic formula | Cube-free number | exponential sum | 11L03 | Mathematics, general | Mathematics | 11L07 | 11N37 | NONLINEAR SEQUENCES | MATHEMATICS | EXPONENTIAL-SUMS | MONOMIALS | Mathematical analysis

asymptotic formula | Cube-free number | exponential sum | 11L03 | Mathematics, general | Mathematics | 11L07 | 11N37 | NONLINEAR SEQUENCES | MATHEMATICS | EXPONENTIAL-SUMS | MONOMIALS | Mathematical analysis

Journal Article

Communications in Statistics - Theory and Methods, ISSN 0361-0926, 03/2018, Volume 47, Issue 5, pp. 1013 - 1021

In this article, we introduce a new circular distribution to be called as wrapped Lindley distribution and derive expressions for characteristic function,...

Wrapped exponential distribution | Watson statistic | 62Q | Trigonometric moments | Lindley distribution | 62E | Circular distribution | 62F | 62G | STATISTICS & PROBABILITY | Maximum likelihood estimation | Economic models | Parameter estimation | Computer simulation | Maximum likelihood estimators | Kurtosis | Probability distribution functions | Characteristic functions

Wrapped exponential distribution | Watson statistic | 62Q | Trigonometric moments | Lindley distribution | 62E | Circular distribution | 62F | 62G | STATISTICS & PROBABILITY | Maximum likelihood estimation | Economic models | Parameter estimation | Computer simulation | Maximum likelihood estimators | Kurtosis | Probability distribution functions | Characteristic functions

Journal Article

1961, Stanford studies in mathematics and statistics, ISBN 9780804700573, Volume 3

Book

Physical Review, 87 (4), 2013, ISSN 1098-0121, 01/2013, Volume 87, Issue 4

Persistent luminescence or afterglow is caused by a gradual release of charge carriers from trapping centers. The energy needed to release these charge...

PHYSICS, CONDENSED MATTER | COPRECIPITATION METHOD | RARE-EARTH IONS | ANALYSIS COMPUTER-PROGRAMS | FRACTIONAL GLOW TECHNIQUE | ACTIVATION-ENERGIES | EXPONENTIAL-DISTRIBUTION | LUMINESCENCE MATERIALS | ELECTRON TRAP | LONG AFTERGLOW PHOSPHOR | THERMO-LUMINESCENCE

PHYSICS, CONDENSED MATTER | COPRECIPITATION METHOD | RARE-EARTH IONS | ANALYSIS COMPUTER-PROGRAMS | FRACTIONAL GLOW TECHNIQUE | ACTIVATION-ENERGIES | EXPONENTIAL-DISTRIBUTION | LUMINESCENCE MATERIALS | ELECTRON TRAP | LONG AFTERGLOW PHOSPHOR | THERMO-LUMINESCENCE

Journal Article

Journal of Statistical Computation and Simulation, ISSN 0094-9655, 12/2014, Volume 84, Issue 12, pp. 2592 - 2606

In this paper, we propose a new three-parameter model called the exponential-Weibull distribution, which includes as special models some widely known lifetime...

mean deviation | exponential distribution | Weibull distribution | maximum likelihood estimation | moment | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | STATISTICS & PROBABILITY | FAILURE | FAMILY | Computer simulation | Computation | Mathematical analysis | Maximum likelihood estimators | Mathematical models | Deviation | Estimates | Flexibility

mean deviation | exponential distribution | Weibull distribution | maximum likelihood estimation | moment | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | STATISTICS & PROBABILITY | FAILURE | FAMILY | Computer simulation | Computation | Mathematical analysis | Maximum likelihood estimators | Mathematical models | Deviation | Estimates | Flexibility

Journal Article

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