Beyond Beta - Other Continuous Families of Distributions with Bounded Support and Applications

Kotz, Samuel; Dorp, Johan René van

doi:10.1142/9789812701282

Cited by 119 publications

(118 citation statements)

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“…When only the value of the best estimateX is known, in addition to the upper and lower bounds of the CI, it is reasonable to assume that the probability to obtain values near the bounds is lower than values nearX. In this case, a simple approximation of the pdf is given by the asymmetric triangular distribution, with modeX, width X max − X min , and variance Kotz & Van Dorp (2004) give the analytic relations…”

Section: Resultsmentioning

confidence: 99%

Angular diameter estimation of interferometric calibrators

Cruzalèbes¹,

Jorissen

Sacuto

et al. 2010

A&A

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Context. Accurate long-baseline interferometric measurements require careful calibration with reference stars. Small calibrators with high angular diameter accuracy ensure the true visibility uncertainty to be dominated by the measurement errors. Aims. We review some indirect methods for estimating angular diameter, using various types of input data. Each diameter estimate, obtained for the test-case calibrator star λ Gru, is compared with the value 2.71 mas found in the Bordé calibrator catalogue published in 2002. Methods. Angular size estimations from spectral type, spectral index, in-band magnitude, broadband photometry, and spectrophotometry give close estimates of the angular diameter, with slightly variable uncertainties. Fits on photometry and spectrophotometry need physical atmosphere models with "plausible" stellar parameters. Angular diameter uncertainties were estimated by means of residual bootstrapping confidence intervals. All numerical results and graphical outputs presented in this paper were obtained using the routines developed under PV-WAVE r , which compose the modular software suite SPIDAST, created to calibrate and interprete spectroscopic and interferometric measurements, particularly those obtained with VLTI-AMBER. Results. The final angular diameter estimate 2.70 mas of λ Gru, with 68% confidence interval 2.65−2.81 mas, is obtained by fit of the MARCS model on the ISO-SWS 2.38−27.5 μm spectrum, with the stellar parameters T e = 4250 K, log g = 2.0, z = 0.0 dex, M = 1.0 M , and ξ t = 2.0 km s −1 .

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Section: Resultsmentioning

confidence: 99%

Angular diameter estimation of interferometric calibrators

Cruzalèbes¹,

Jorissen

Sacuto

et al. 2010

A&A

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“…We tested the invasion speed formula (25) by simulating model (21) using the density-dependent survival model (14) and the harmonic mean mating function (10), along with symmetric two-sided power distributions (Van Dorp and Kotz 2002;Kotz and Van Dorp 2004):…”

Section: Numerical Simulationsmentioning

confidence: 99%

Sex-Biased Dispersal and the Speed of Two-Sex Invasions

Miller

Shaw

Inouye

et al. 2011

The American Naturalist

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Population models that combine demography and dispersal are important tools for forecasting the spatial spread of biological invasions. Current models describe the dynamics of only one sex (typically females). Such models cannot account for the sexrelated biases in dispersal and mating behavior that are typical of many animal species. In this article, we construct a two-sex integrodifference equation model that overcomes these limitations. We derive an explicit formula for the invasion speed from the model and use it to show that sex-biased dispersal may significantly increase or decrease the invasion speed by skewing the operational sex ratio at the invasion's low-density leading edge. Which of these possible outcomes occurs depends sensitively on complex interactions among the direction of dispersal bias, the magnitude of bias, and the relative contributions of females and males to local population growth.

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“…Figure 2 Triangular probability distribution assumed for random generation of explicit input (Judkoff et al 2010a, Kotz andvan Dorp 2004) …”

Section: Min Nominal Maxmentioning

confidence: 99%

Building Energy Simulation Test for Existing Homes (BESTEST-EX) Methodology: Preprint

Judkoff¹,

Polly²,

Bianchi³

et al. 2011

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The authors developed a method for testing the reliability of models that predict retrofit energy savings, including their associated calibration methods. The test suite applies the new Building Energy Simulation Test for Existing Homes (BESTEST-EX) Methodology, developed by the National Renewable Energy Laboratory in consultation with home energy retrofit industry software developers. BESTEST-EX includes building physics test cases with fully known inputs, and calibrated energy savings test cases with specified base-case monthly utility billing data and uncertainty ranges for selected inputs. The test cases apply a variety of retrofit scenarios in a heating and a cooling climate.

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Beyond Beta - Other Continuous Families of Distributions with Bounded Support and Applications

Cited by 119 publications

References 0 publications

Angular diameter estimation of interferometric calibrators

Angular diameter estimation of interferometric calibrators

Sex-Biased Dispersal and the Speed of Two-Sex Invasions

Building Energy Simulation Test for Existing Homes (BESTEST-EX) Methodology: Preprint

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