Statistical Analysis of Wildfire Count and Size Distributions
Forest fires are one of the biggest ecological disasters in Canada. Counts and sizes of fires vary substantially from year to year. In this study, the data is collected from Northwest Territories in Canada. We assume that fire counts appear to follow the Gamma-Poisson distribution, and fire sizes ap...
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ftcdlib:qt2v20m46r 2023-05-15T17:46:36+02:00 Statistical Analysis of Wildfire Count and Size Distributions Huang, Yu 48 2019-01-01 application/pdf http://www.escholarship.org/uc/item/2v20m46r en eng eScholarship, University of California http://www.escholarship.org/uc/item/2v20m46r qt2v20m46r public Huang, Yu. (2019). Statistical Analysis of Wildfire Count and Size Distributions. UCLA: Applied Statistics 00BB. Retrieved from: http://www.escholarship.org/uc/item/2v20m46r Statistics dissertation 2019 ftcdlib 2019-05-10T22:51:32Z Forest fires are one of the biggest ecological disasters in Canada. Counts and sizes of fires vary substantially from year to year. In this study, the data is collected from Northwest Territories in Canada. We assume that fire counts appear to follow the Gamma-Poisson distribution, and fire sizes approximately follow the Gamma-Exponential distribution. The Maximum Likelihood Estimation and Random Search are used to estimate the parameters of two models. Identifiability issues regarding parameters in the two models are explored. The Kolmogorov–Smirnov test is used to check for goodness of fit. For fire sizes data, although the Kolmogorov–Smirnov test shows a low p-value, by plotting theoretical and empirical distribution, we can see that the Gamma-Exponential distribution fits adequately. Doctoral or Postdoctoral Thesis Northwest Territories University of California: eScholarship Canada Northwest Territories |
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Open Polar |
collection |
University of California: eScholarship |
op_collection_id |
ftcdlib |
language |
English |
topic |
Statistics |
spellingShingle |
Statistics Huang, Yu Statistical Analysis of Wildfire Count and Size Distributions |
topic_facet |
Statistics |
description |
Forest fires are one of the biggest ecological disasters in Canada. Counts and sizes of fires vary substantially from year to year. In this study, the data is collected from Northwest Territories in Canada. We assume that fire counts appear to follow the Gamma-Poisson distribution, and fire sizes approximately follow the Gamma-Exponential distribution. The Maximum Likelihood Estimation and Random Search are used to estimate the parameters of two models. Identifiability issues regarding parameters in the two models are explored. The Kolmogorov–Smirnov test is used to check for goodness of fit. For fire sizes data, although the Kolmogorov–Smirnov test shows a low p-value, by plotting theoretical and empirical distribution, we can see that the Gamma-Exponential distribution fits adequately. |
format |
Doctoral or Postdoctoral Thesis |
author |
Huang, Yu |
author_facet |
Huang, Yu |
author_sort |
Huang, Yu |
title |
Statistical Analysis of Wildfire Count and Size Distributions |
title_short |
Statistical Analysis of Wildfire Count and Size Distributions |
title_full |
Statistical Analysis of Wildfire Count and Size Distributions |
title_fullStr |
Statistical Analysis of Wildfire Count and Size Distributions |
title_full_unstemmed |
Statistical Analysis of Wildfire Count and Size Distributions |
title_sort |
statistical analysis of wildfire count and size distributions |
publisher |
eScholarship, University of California |
publishDate |
2019 |
url |
http://www.escholarship.org/uc/item/2v20m46r |
op_coverage |
48 |
geographic |
Canada Northwest Territories |
geographic_facet |
Canada Northwest Territories |
genre |
Northwest Territories |
genre_facet |
Northwest Territories |
op_source |
Huang, Yu. (2019). Statistical Analysis of Wildfire Count and Size Distributions. UCLA: Applied Statistics 00BB. Retrieved from: http://www.escholarship.org/uc/item/2v20m46r |
op_relation |
http://www.escholarship.org/uc/item/2v20m46r qt2v20m46r |
op_rights |
public |
_version_ |
1766150355202080768 |