Topic
Distribution fitting
About: Distribution fitting is a research topic. Over the lifetime, 1741 publications have been published within this topic receiving 35007 citations.
Papers published on a yearly basis
1 / 2
Papers
TL;DR: In this article, the authors introduced a general class of distributions generated from the logit of the beta random variable, a special case of this family is the beta-normal distribution, which provides great flexibility in modeling not only symmetric heavy-tailed distributions, but also skewed and bimodal distributions.
Abstract: This paper introduces a general class of distributions generated from the logit of the beta random variable. A special case of this family is the beta-normal distribution. The shape properties of the beta-normal distribution are discussed. Estimation of parameters of the beta-normal distribution by the maximum likelihood method is also discussed. The beta-normal distribution provides great flexibility in modeling not only symmetric heavy-tailed distributions, but also skewed and bimodal distributions. The flexibility of this distribution is illustrated by applying it to two empirical data sets and comparing the results to previously used methods.
1,373 citations
TL;DR: In this article, the Weibull function is used for representation of the wind speed frequency distribution and methods for estimating the two Weibbull parameters (scale factor c and shape factor k) from simple wind statistics are presented.
Abstract: The Weibull function is discussed for representation of the wind speed frequency distribution. Methods are presented for estimating the two Weibull parameters (scale factor c and shape factor k) from simple wind statistics. Comparison is made with a recently proposed method based on the “square-root-normal” distribution with mean wind speed and fastest mile data as input statistics. The Weibull distribution is shown to give smaller root-mean-square errors than the square-root-normal distribution when fitting actual distributions of observed wind speed. Another advantage of the Weibull distribution is the available methodology for projecting to another height the observed Weibull distribution parameters at anemometer height.
810 citations
TL;DR: A new probabilistic load-flow solution algorithm based on an efficient point estimate method that can be used directly with any existing deterministic load- flow program and compared with those obtained from Monte Carlo simulation technique and combined simulation and analytical method.
Abstract: A new probabilistic load-flow solution algorithm based on an efficient point estimate method is proposed in this paper. It is assumed that the uncertainties of bus injections and line parameters can be estimated or measured. This paper shows how to estimate the corresponding uncertainty in the load-flow solution. The proposed method can be used directly with any existing deterministic load-flow program. For a system with m uncertain parameters, it uses 2m calculations of load flow to calculate the statistical moments of load-flow solution distributions by weighting the value of the solution evaluated at 2m locations. The moments are then used in the probability distribution fitting. Performance of the proposed method is verified and compared with those obtained from Monte Carlo simulation technique and combined simulation and analytical method using several IEEE test systems.
586 citations
1 Jan 1957
547 citations
TL;DR: Compared to traditional methods of distribution fitting based on moment matching, percentile matching, L 1 estimation, and L ⌆ estimation, the least-squares technique is seen to yield fits of similar accuracy and to converge more rapidly and reliably to a set of acceptable parametre estimates.
Abstract: To summarize a set of data by a distribution function in Johnson's translation system, we use a least-squares approach to parameter estimation wherein we seek to minimize the distance between the vector of "uniformized" oeder statistics and the corresponding vector of expected values. We use the software package FITTRI to apply this technique to three problems arising respectively in medicine, applied statistics, and civil engineering. Compared to traditional methods of distribution fitting based on moment matching, percentile matchingL 1 estimation, and L ⌆ estimation, the least-squares technique is seen to yield fits of similar accuracy and to converge more rapidly and reliably to a set of acceptable parametre estimates.
541 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2025 | 1 |
| 2024 | 10 |
| 2023 | 18 |
| 2022 | 41 |
| 2021 | 20 |
| 2020 | 25 |