Top

Published in:

2024 | OriginalPaper | Chapter

Estimation Methods for the Coefficient of Variation of the Three-Parameter Lognormal Distribution: Their Application to Wind Speed Data Indicating Soil Erosion Effects

Authors : Patcharee Maneerat, Pisit Nakjai, Sa-Aat Niwitpong, Noppadon Yosboonruang

Published in: Applications of Optimal Transport to Economics and Related Topics

Publisher: Springer Nature Switzerland

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

Highly right-skewed data can often be modeled by using the three-parameter lognormal distribution. Meanwhile, the performances of extant confidence interval estimates are poor when the variance is large. Herein, methods to estimate the confidence interval for the coefficient of variation of the three-parameter lognormal distribution using the likelihood-based, generalized confidence interval, and method of variance estimates recovery methods are presented. The results of a numerical simulation study reveal that the likelihood-based confidence interval estimate performed well in terms of the actual coverage percentage and average length, even with a large coefficient of variation. The methods’ applicability is demonstrated through their application to wind speed data from Chiang Mai, Thailand, aiming to indicate soil erosion effects.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

previous chapter Financial Development and Economic Growth: A Case of Developing Countries

next chapter The Determinants of Carbon Dioxide Emissions in ASEAN-7: Evidence from Bayesian Model Averaging Approach

Bendel, R.B., Higgins, S.S., Teberg, J.E., Pyke, D.A.: Comparison of skewness coefficient, coefficient of variation, and Gini coefficient as inequality measures within populations. Oecologia 78(3), 394–400 (1989)CrossRef

Burges, S.J., Lettenmaier, D.P., Bates, C.L.: Properties of the three-parameter log normal probability distribution. Water Res. Res. 11(2), 229–235 (1975)CrossRef

Casella, G., Berger, R.L.: Statistical Inference, 2nd ed. Duxbury (2002)

Charbeneau, R.J.: Comparison of the two- and three-parameter log normal distributions used in streamflow synthesis. Water Res. Res. 14(1), 149–150 (1978)CrossRef

Chen, C.: Tests of fit for the three-parameter lognormal distribution. Comput. Stat. Data Anal. 50(6), 1418–1440 (2006)CrossRef

Chen, Z., Miao, F.: Interval and point estimators for the location parameter of the three-parameter lognormal distribution. Int. J. Quality Stat. Reliab. 2012(370), 1–6 (2012)

Cohen, A.C.: Estimating parameters of logarithmic-normal distributions by maximum likelihood. J. Am. Statist. Assoc. 46(254), 206–212 (1951)CrossRef

Cohen, A.C., Whitten, B.J.: Estimation in the three-parameter lognormal distribution. J. Am. Statist. Assoc. 75(370), 399–404 (1980)CrossRef

Cohen, A.C., Whitten, B.J., Ding, Y.: Modified moment estimation for the three-parameter lognormal distribution. J. Qual. Technol. 17(2), 92–99 (1985)CrossRef

10.

Donner, A., Zou, G.Y.: Closed-form confidence intervals for functions of the normal mean and standard deviation. Stat. Methods Med. Res. 21(4), 347–359 (2010)CrossRef

11.

Griffiths, D.A.: Interval estimation for the three-parameter lognormal distribution via the likelihood function. Appl. Stat. 29(1), 58–68 (1980)CrossRef

12.

Maneerat, P., Niwitpong, S.-A., Nakjai, P.: Estimating wind speed by using confidence intervals for the median in a three-parameter lognormal model. In: Honda, K., Entani, T., Ubukata, S., Huynh, V.-N., Inuiguchi, M. eds., Integrated Uncertainty in Knowledge Modelling and Decision Making. Lecture Notes in Computer Science, pp. 329–341. Springer International Publishing, Cham (2022)

13.

McCool, J.I.: Inferential Techniques for Weibull Populations. Technical Report (1975). https://apps.dtic.mil/sti/citations/ADA009645

14.

Singh, V., Cruise, J., Ma, M.: A comparative evaluation of the estimators of the three-parameter lognormal distribution by Monte Carlo simulation. Comput. Stat. Data Anal. 10(1), 71–85 (1990)CrossRef

15.

Thai Meteorological Department, Daily Weather Summary, Technical Report (2021). https://www.tmd.go.th/en/climate.php?FileID=1

Title: Estimation Methods for the Coefficient of Variation of the Three-Parameter Lognormal Distribution: Their Application to Wind Speed Data Indicating Soil Erosion Effects
Authors: Patcharee Maneerat
Pisit Nakjai
Sa-Aat Niwitpong
Noppadon Yosboonruang
Publisher: Springer Nature Switzerland
Book: Applications of Optimal Transport to Economics and Related Topics
Print ISBN: 978-3-031-67769-4

Electronic ISBN: 978-3-031-67770-0

Copyright Year: 2024
DOI: https://doi.org/10.1007/978-3-031-67770-0_21

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Springer Professional "Wirtschaft"