PDF plots of GIED.
<div><p>This article explores the estimation of Shannon entropy and Rényi entropy based on the generalized inverse exponential distribution under the condition of stepwise Type II truncated samples. Firstly, we analyze the maximum likelihood estimation and interval estimation of Shannon...
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2024
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| _version_ | 1852026281215918080 |
|---|---|
| author | Qin Gong (118801) |
| author2 | Bin Yin (120095) |
| author2_role | author |
| author_facet | Qin Gong (118801) Bin Yin (120095) |
| author_role | author |
| dc.creator.none.fl_str_mv | Qin Gong (118801) Bin Yin (120095) |
| dc.date.none.fl_str_mv | 2024-09-30T17:35:50Z |
| dc.identifier.none.fl_str_mv | 10.1371/journal.pone.0311129.g001 |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/figure/PDF_plots_of_GIED_/27137445 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Genetics Neuroscience Biotechnology Cancer Plant Biology Environmental Sciences not elsewhere classified Mathematical Sciences not elsewhere classified research results show r &# 233 practical applications using lindley approximation algorithm degroot loss function construct confidence intervals entropy loss function maximum likelihood estimation nyi entropy based nyi entropy shannon entropy entropy functions xlink "> statistical inference relatively high progressive type prior distribution interval estimation gied model gamma distribution estimation method estimation accuracy demonstrate effectiveness bootstrap method article explores |
| dc.title.none.fl_str_mv | PDF plots of GIED. |
| dc.type.none.fl_str_mv | Image Figure info:eu-repo/semantics/publishedVersion image |
| description | <div><p>This article explores the estimation of Shannon entropy and Rényi entropy based on the generalized inverse exponential distribution under the condition of stepwise Type II truncated samples. Firstly, we analyze the maximum likelihood estimation and interval estimation of Shannon entropy and Rényi entropy for the generalized inverse exponential distribution. In this process, we use the bootstrap method to construct confidence intervals for Shannon entropy and Rényi entropy. Next, we select the gamma distribution as the prior distribution and apply the Lindley approximation algorithm to calculate `estimates of Shannon entropy and Rényi entropy under different loss functions including Linex loss function, entropy loss function, and DeGroot loss function respectively. Afterwards, simulation is used to calculate estimates and corresponding mean square errors of Shannon entropy and Rényi entropy in GIED model. The research results show that under DeGroot loss function, estimation accuracy of Shannon entropy and Rényi entropy for generalized inverse exponential distribution is relatively high, overall Bayesian estimation performs better than maximum likelihood estimation. Finally, we demonstrate effectiveness of our estimation method in practical applications using a set of real data.</p></div> |
| eu_rights_str_mv | openAccess |
| id | Manara_640aefcfd076d1dfd768f8e6ab9d1c70 |
| identifier_str_mv | 10.1371/journal.pone.0311129.g001 |
| network_acronym_str | Manara |
| network_name_str | ManaraRepo |
| oai_identifier_str | oai:figshare.com:article/27137445 |
| publishDate | 2024 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | PDF plots of GIED.Qin Gong (118801)Bin Yin (120095)GeneticsNeuroscienceBiotechnologyCancerPlant BiologyEnvironmental Sciences not elsewhere classifiedMathematical Sciences not elsewhere classifiedresearch results showr &# 233practical applications usinglindley approximation algorithmdegroot loss functionconstruct confidence intervalsentropy loss functionmaximum likelihood estimationnyi entropy basednyi entropyshannon entropyentropy functionsxlink ">statistical inferencerelatively highprogressive typeprior distributioninterval estimationgied modelgamma distributionestimation methodestimation accuracydemonstrate effectivenessbootstrap methodarticle explores<div><p>This article explores the estimation of Shannon entropy and Rényi entropy based on the generalized inverse exponential distribution under the condition of stepwise Type II truncated samples. Firstly, we analyze the maximum likelihood estimation and interval estimation of Shannon entropy and Rényi entropy for the generalized inverse exponential distribution. In this process, we use the bootstrap method to construct confidence intervals for Shannon entropy and Rényi entropy. Next, we select the gamma distribution as the prior distribution and apply the Lindley approximation algorithm to calculate `estimates of Shannon entropy and Rényi entropy under different loss functions including Linex loss function, entropy loss function, and DeGroot loss function respectively. Afterwards, simulation is used to calculate estimates and corresponding mean square errors of Shannon entropy and Rényi entropy in GIED model. The research results show that under DeGroot loss function, estimation accuracy of Shannon entropy and Rényi entropy for generalized inverse exponential distribution is relatively high, overall Bayesian estimation performs better than maximum likelihood estimation. Finally, we demonstrate effectiveness of our estimation method in practical applications using a set of real data.</p></div>2024-09-30T17:35:50ZImageFigureinfo:eu-repo/semantics/publishedVersionimage10.1371/journal.pone.0311129.g001https://figshare.com/articles/figure/PDF_plots_of_GIED_/27137445CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/271374452024-09-30T17:35:50Z |
| spellingShingle | PDF plots of GIED. Qin Gong (118801) Genetics Neuroscience Biotechnology Cancer Plant Biology Environmental Sciences not elsewhere classified Mathematical Sciences not elsewhere classified research results show r &# 233 practical applications using lindley approximation algorithm degroot loss function construct confidence intervals entropy loss function maximum likelihood estimation nyi entropy based nyi entropy shannon entropy entropy functions xlink "> statistical inference relatively high progressive type prior distribution interval estimation gied model gamma distribution estimation method estimation accuracy demonstrate effectiveness bootstrap method article explores |
| status_str | publishedVersion |
| title | PDF plots of GIED. |
| title_full | PDF plots of GIED. |
| title_fullStr | PDF plots of GIED. |
| title_full_unstemmed | PDF plots of GIED. |
| title_short | PDF plots of GIED. |
| title_sort | PDF plots of GIED. |
| topic | Genetics Neuroscience Biotechnology Cancer Plant Biology Environmental Sciences not elsewhere classified Mathematical Sciences not elsewhere classified research results show r &# 233 practical applications using lindley approximation algorithm degroot loss function construct confidence intervals entropy loss function maximum likelihood estimation nyi entropy based nyi entropy shannon entropy entropy functions xlink "> statistical inference relatively high progressive type prior distribution interval estimation gied model gamma distribution estimation method estimation accuracy demonstrate effectiveness bootstrap method article explores |