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	<title>Confidence interval estimation of gamma distribution lifetime data using score and bootstrap methods | Larasati | Desimal: Jurnal Matematika</title>
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			<meta name="keywords" content="Convidence Interval  Estimation; Gamma Distribution; Maximum Likelihood Estimation; Score Method; Bootstrap Method; Reliability" />
	
	
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	<meta name="DC.Contributor.Sponsor" xml:lang="en" content=""/>
	<meta name="DC.Creator.PersonalName" content="Larasati Larasati"/>
	<meta name="DC.Creator.PersonalName" content="Rudi Ruswandi"/>
	<meta name="DC.Creator.PersonalName" content="Fitriani Fitriani"/>
	<meta name="DC.Date.created" scheme="ISO8601" content="2021-03-29"/>
	<meta name="DC.Date.dateSubmitted" scheme="ISO8601" content="2020-12-15"/>
	<meta name="DC.Date.issued" scheme="ISO8601" content="2021-01-18"/>
	<meta name="DC.Date.modified" scheme="ISO8601" content="2021-03-29"/>
	<meta name="DC.Description" xml:lang="en" content="  C  onfidence interval   estimation of   parameters determines the   value   interval,   which is calculated based   on statistical   measurement  s and has specific estimates   probability that contains the actual parameters  . A method is needed to estimate the parameters&#039; confidence interval, and the method  s   used   are the   Score method and   the   Bootstrap method. This study aims to estimate parameters by using the maximum likelihood estimation method and analyze the reliability of the aircraft engine cooling system&#039;s lifetime that follows the Gamma Distribution, and estimate the confidence interval of the parameters.       "/>
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	<meta name="DC.Identifier" content="7737"/>
	<meta name="DC.Identifier.pageNumber" content="93-100"/>
							<meta name="DC.Identifier.DOI" content="10.24042/djm.v4i1.7737"/>
		<meta name="DC.Identifier.URI" content="http://ejournal.radenintan.ac.id/index.php/desimal/article/view/7737"/>
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	<meta name="DC.Source.ISSN" content="2613-9081"/>
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	<meta name="DC.Source.Volume" content="4"/>						<meta name="DC.Subject" xml:lang="en" content="Convidence Interval  Estimation"/>
								<meta name="DC.Subject" xml:lang="en" content="Gamma Distribution"/>
								<meta name="DC.Subject" xml:lang="en" content="Maximum Likelihood Estimation"/>
								<meta name="DC.Subject" xml:lang="en" content="Score Method"/>
								<meta name="DC.Subject" xml:lang="en" content="Bootstrap Method"/>
								<meta name="DC.Subject" xml:lang="en" content="Reliability"/>
				<meta name="DC.Title" content="Confidence interval estimation of gamma distribution lifetime data using score and bootstrap methods"/>
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	<meta name="citation_journal_title" content="Desimal: Jurnal Matematika"/>
	<meta name="citation_issn" content="2613-9081"/>
        <meta name="citation_author" content="Larasati Larasati"/>
        <meta name="citation_author_institution" content="Universitas Lampung"/>
        <meta name="citation_author" content="Rudi Ruswandi"/>
        <meta name="citation_author_institution" content="Universitas Lampung"/>
        <meta name="citation_author" content="Fitriani Fitriani"/>
        <meta name="citation_author_institution" content="(SCOPUS ID:57191419631) Universitas Lampung"/>
<meta name="citation_title" content="Confidence interval estimation of gamma distribution lifetime data using score and bootstrap methods"/>

				<meta name="citation_date" content="2021/03/29"/>
	
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	<meta name="citation_issue" content="1"/>

			<meta name="citation_firstpage" content="93"/>
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								<meta name="citation_doi" content="10.24042/djm.v4i1.7737"/>
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						<meta name="citation_keywords" xml:lang="en" content="Convidence Interval  Estimation"/>
								<meta name="citation_keywords" xml:lang="en" content="Gamma Distribution"/>
								<meta name="citation_keywords" xml:lang="en" content="Maximum Likelihood Estimation"/>
								<meta name="citation_keywords" xml:lang="en" content="Score Method"/>
								<meta name="citation_keywords" xml:lang="en" content="Bootstrap Method"/>
								<meta name="citation_keywords" xml:lang="en" content="Reliability"/>
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	<a href="http://ejournal.radenintan.ac.id/index.php/desimal/issue/view/521" target="_parent">Vol 4, No 1 (2021)</a> &gt;	<a href="http://ejournal.radenintan.ac.id/index.php/desimal/article/view/7737/0" class="current" target="_parent">Larasati</a>
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	<div id="articleTitle"><h3>Confidence interval estimation of gamma distribution lifetime data using score and bootstrap methods</h3></div>
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							<a id="pub-id::doi" href="https://doi.org/10.24042/djm.v4i1.7737">https://doi.org/10.24042/djm.v4i1.7737</a>		<br />
		<br />
																					<div id="authorString"><em>Larasati Larasati, Rudi Ruswandi, Fitriani Fitriani</em></div>
	<br />
			<div id="articleAbstract">
		<h4>Abstract</h4>
		<br />
		<div><p><em>C</em><em>onfidence interval</em><em> estimation of</em><em> parameters determines the </em><em>value </em><em>interval, </em><em>which is calculated based </em><em>on statistical </em><em>measurement</em><em>s and has specific estimates</em><em> probability that contains the actual parameters</em><em>. A method is needed to estimate the parameters' confidence interval, and the method</em><em>s</em><em> used </em><em>are the </em><em>Score method and </em><em>the </em><em>Bootstrap method. This study aims to estimate parameters by using the maximum likelihood estimation method and analyze the reliability of the aircraft engine cooling system's lifetime that follows the Gamma Distribution, and estimate the confidence interval of the parameters. </em><strong><em></em></strong></p></div>
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		<h4>Keywords</h4>
		<br />
		<div>Convidence Interval  Estimation; Gamma Distribution; Maximum Likelihood Estimation; Score Method; Bootstrap Method; Reliability</div>
		<br />
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		<h4>Full Text:</h4>
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		<h4>References</h4>
		<br />
		<div>
							<p>Abid, S. H., &amp; Al-Hassany, S. A. (2016). On the inverted gamma distribution. International Journal of Systems Science and Applied Mathematics, 1(3), 16–22.</p>
							<p>Bain, L. J., &amp; Engelhardt, M. (1992). Introduction to probability and mathematical statistic (2nd ed.).</p>
							<p>Bertsimas, D., &amp; Nohadani, O. (2019). Robust maximum likelihood estimation. INFORMS Journal on Computing, 31(3), NFORMS Journal on Computing.</p>
							<p>Boland, P. J. ., El-Neweihi, E., &amp; Proschan, F. (1994). Applications of the Hazard Rate Ordering in Reliability and Order Statistics Reviewed work ( s ): Source : Journal of Applied Probability , Vol . 31 , No . 1 ( Mar ., 1994 ), pp . 180-19. Journal of Applied Probability, 31(1), 180–192.</p>
							<p>J, K., Ngesa, O., &amp; Orwa, G. (2019). On Generalized gamma distribution and its application to survival data. International Journal of Statistics and Probability, 8(5), 85–102. https://doi.org/10.5539/ijsp.v8n5p85</p>
							<p>Khamkong, M. (2018). Parameter estimation method for the two parameter gamma distribution based on transformation. International Journal of Applied Engineering Research, 13(2), 1261–1264.</p>
							<p>Lawless, J. F. (1982). Statistical model and method for life time data. John Wiley and Sons, Inc.</p>
							<p>Sangnawakij, P., Böhning, D., Niwitpong, S. A., Adams, S., Stanton, M., &amp; Holling, H. (2019). Meta-analysis without study-specific variance information: Heterogeneity case. Statistical Methods in Medical Research, 28(1), 196–210. https://doi.org/10.1177/0962280217718867</p>
							<p>Sangnawakij, P., &amp; Niwitpong, S. A. (2017). Confidence intervals for functions of coefficients of variation with bounded parameter spaces in two gamma distributions. Songklanakarin Journal of Science and Technology, 39(1), 27–39. https://doi.org/10.14456/sjst-psu.2017.4</p>
							<p>Sharma, V. K., Singh, S. K., &amp; Singh, U. (2017). Classical and bayesian methods of estimation for power lindley distribution with application to waiting time data. Communications for Statistical Applications and Methods, 24(3), 193–209. https://doi.org/10.5351/CSAM.2017.24.3.193</p>
							<p>Soejati, Z., &amp; Subanar. (1988). Inferensi bayesian. Karunika Universitas Terbuka.</p>
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		DOI: <a id="pub-id::doi" href="https://doi.org/10.24042/djm.v4i1.7737">https://doi.org/10.24042/djm.v4i1.7737</a>																				<br />
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