Point and Confidence Interval Estimation of the Parameter and Survival Function for Lindley Distribution Under Censored and Uncensored Data
Yıl: 2019 Cilt: 11 Sayı: 3 Sayfa Aralığı: 198 - 212 Metin Dili: İngilizce DOI: 10.5336/biostatic.2019-70223 İndeks Tarihi: 28-04-2020
Point and Confidence Interval Estimation of the Parameter and Survival Function for Lindley Distribution Under Censored and Uncensored Data
Öz: Objective: Survival analysis is a statistical method used to compare the life expectancy of patients in health studies and to investigate the effectiveness of the treatments. TheLindley distribution is a widely used distribution in survival analysis in recent years and is usedto describe the life of a process or device. The Lindley distribution is a two-parameter continuous distribution that is widely used in a wide range of fields including biology, engineering andmedicine. Material and Method: In this study, point and interval estimates of the Lindley distribution were examined for censored and uncensored data. Parameter inferences and confidenceintervals are shown. In the application section, real-time data (uncensored) and a simulation data(uncensored and censored) are compared with other distributions of the exponential distributionfamily. Results: According to the results obtained from the analysis, it was observed that Lindleydistribution gave better results in special data structures compared to other distributions of exponential family. Lindley distribution; For uncensored real-life data and censored and uncensoredsimulation data, it has a lower model selection criterion. Conclusion: The exact distribution ofthe data to be used in survival analysis is one of the prerequisites for the success of the analysis.The Lindley distribution, with its increasing popularity in recent years, is a distribution thatgives successful results in survival analysis.
Anahtar Kelime: Konular:
Lindley Dağılımında Sansürlü ve Sansürsüz Verilerde Parametre ve Sağ Kalım Fonksiyonları için Nokta ve Aralık Tahmini
Öz: Amaç: Sağ Kalım analizi, sağlık çalışmalarında hastaların beklenen yaşam sürelerinin karşılaştırılmasında, uygulanacak tedavilerin etkinlikleinin araştırılmasında kullanılan istatistiksel yöntemlerdir. Lindley dağılımı, son yıllarda sağ kalım analizlerinde sık kullanılan bir dağılımdır ve bir işlem ya da cihazın ömrünü tanımlamada kullanılır. Biyoloji, mühendislik ve tıp da dahil olmak üzere çok çeşitli alanlarda uygulama alanı bulan Lindley dağılımı, iki parametreli sürekli bir dağılımdır. Gereç ve Yöntemler: Bu çalışmada, sansürlü ve sansürsüz veriler için Lindley dağılımının nokta ve aralık tahminleri incelenmiştir. Parametre çıkarımları ve güven aralıklarının bulunması gösterilmiştir. Uygulama bölümünde ise gerçek zamanlı veriler (sansürsüz) ve bir simülasyon verisi (sansürsüz ve sansürlü), üstel dağılım ailesinin diğer dağılımları ile karşılaştırılmıştır. Bulgular: Analizlerden elde edilen sonuçlara göre, Lindley dağılımının özel veri yapılarında üstel ailesinin diğer dağılımları ile karşılaştırıldığında daha iyi sonuçlar verdiği görülmüştür. Lindley dağılımı; Sansürsüz gerçek yaşam verisi ile sansürlü ve sansürsüz simülasyon verilerinde, daha düşük model seçme kriterine sahiptir. Sonuç: Sağkalım analizlerinde kullanılacak verilerin dağılımlarının tam olarak belirlenmesi, analizin daha başarılı olması için gereken ön şartlarından biridir. Lindley dağılımı da son yıllarda artan popülerliği ile sağ kalım analizlerinde başarılı sonuçlar veren bir dağılımdır.
Anahtar Kelime: Konular:
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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| APA | ALAKUŞ K, ERİLLİ N (2019). Point and Confidence Interval Estimation of the Parameter and Survival Function for Lindley Distribution Under Censored and Uncensored Data. , 198 - 212. 10.5336/biostatic.2019-70223 |
| Chicago | ALAKUŞ KAMİL,ERİLLİ NECATİ ALP Point and Confidence Interval Estimation of the Parameter and Survival Function for Lindley Distribution Under Censored and Uncensored Data. (2019): 198 - 212. 10.5336/biostatic.2019-70223 |
| MLA | ALAKUŞ KAMİL,ERİLLİ NECATİ ALP Point and Confidence Interval Estimation of the Parameter and Survival Function for Lindley Distribution Under Censored and Uncensored Data. , 2019, ss.198 - 212. 10.5336/biostatic.2019-70223 |
| AMA | ALAKUŞ K,ERİLLİ N Point and Confidence Interval Estimation of the Parameter and Survival Function for Lindley Distribution Under Censored and Uncensored Data. . 2019; 198 - 212. 10.5336/biostatic.2019-70223 |
| Vancouver | ALAKUŞ K,ERİLLİ N Point and Confidence Interval Estimation of the Parameter and Survival Function for Lindley Distribution Under Censored and Uncensored Data. . 2019; 198 - 212. 10.5336/biostatic.2019-70223 |
| IEEE | ALAKUŞ K,ERİLLİ N "Point and Confidence Interval Estimation of the Parameter and Survival Function for Lindley Distribution Under Censored and Uncensored Data." , ss.198 - 212, 2019. 10.5336/biostatic.2019-70223 |
| ISNAD | ALAKUŞ, KAMİL - ERİLLİ, NECATİ ALP. "Point and Confidence Interval Estimation of the Parameter and Survival Function for Lindley Distribution Under Censored and Uncensored Data". (2019), 198-212. https://doi.org/10.5336/biostatic.2019-70223 |
| APA | ALAKUŞ K, ERİLLİ N (2019). Point and Confidence Interval Estimation of the Parameter and Survival Function for Lindley Distribution Under Censored and Uncensored Data. Türkiye Klinikleri Biyoistatistik Dergisi, 11(3), 198 - 212. 10.5336/biostatic.2019-70223 |
| Chicago | ALAKUŞ KAMİL,ERİLLİ NECATİ ALP Point and Confidence Interval Estimation of the Parameter and Survival Function for Lindley Distribution Under Censored and Uncensored Data. Türkiye Klinikleri Biyoistatistik Dergisi 11, no.3 (2019): 198 - 212. 10.5336/biostatic.2019-70223 |
| MLA | ALAKUŞ KAMİL,ERİLLİ NECATİ ALP Point and Confidence Interval Estimation of the Parameter and Survival Function for Lindley Distribution Under Censored and Uncensored Data. Türkiye Klinikleri Biyoistatistik Dergisi, vol.11, no.3, 2019, ss.198 - 212. 10.5336/biostatic.2019-70223 |
| AMA | ALAKUŞ K,ERİLLİ N Point and Confidence Interval Estimation of the Parameter and Survival Function for Lindley Distribution Under Censored and Uncensored Data. Türkiye Klinikleri Biyoistatistik Dergisi. 2019; 11(3): 198 - 212. 10.5336/biostatic.2019-70223 |
| Vancouver | ALAKUŞ K,ERİLLİ N Point and Confidence Interval Estimation of the Parameter and Survival Function for Lindley Distribution Under Censored and Uncensored Data. Türkiye Klinikleri Biyoistatistik Dergisi. 2019; 11(3): 198 - 212. 10.5336/biostatic.2019-70223 |
| IEEE | ALAKUŞ K,ERİLLİ N "Point and Confidence Interval Estimation of the Parameter and Survival Function for Lindley Distribution Under Censored and Uncensored Data." Türkiye Klinikleri Biyoistatistik Dergisi, 11, ss.198 - 212, 2019. 10.5336/biostatic.2019-70223 |
| ISNAD | ALAKUŞ, KAMİL - ERİLLİ, NECATİ ALP. "Point and Confidence Interval Estimation of the Parameter and Survival Function for Lindley Distribution Under Censored and Uncensored Data". Türkiye Klinikleri Biyoistatistik Dergisi 11/3 (2019), 198-212. https://doi.org/10.5336/biostatic.2019-70223 |
