Transmuted Lower Record Type Fréchet Distribution with Lifetime Regression Analysis Based on Type I-Censored Data

Tanış, Caner; Saraçoğlu, Buğra; Kuş, Çoşkun; Pekgör, Ahmet; Karakaya, Kadir

doi:10.2991/jsta.d.210115.001

Cited by 9 publications

(6 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Stochastic ordering is useful for evaluating the comparative features for a nonnegative continuous random variable [12]. The following theorem illustrates that the TLRT-PF random variables can be ordered for the likelihood ratio.…”

Section: Stochastic Orderingmentioning

confidence: 99%

“…respectively [11,12]. Balakrishnan and He [11] noticed that the distribution with CDF (4) is called" dual record-transmuted distribution".…”

Section: Introductionmentioning

confidence: 99%

“…Balakrishnan and He [11] noticed that the distribution with CDF (4) is called" dual record-transmuted distribution". The first special case of this family based on Frechet distribution is introduced by [12]. This new model is called as transmuted record type Frechet distribution in [12].…”

Section: Introductionmentioning

confidence: 99%

“…The first special case of this family based on Frechet distribution is introduced by [12]. This new model is called as transmuted record type Frechet distribution in [12]. In this paper, we call this family of distributions as the family of transmuted lower record type distributions.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Transmuted Lower Record Type Power Function Distribution

Tanış

2021

J. Sci. Arts

View full text Add to dashboard Cite

This study introduces a new lifetime distribution as an alternative to power function distribution and modified ones. This model is generated by using a method based on the distributions of lower records. We discuss some statistical inferences and mathematical properties of the suggested distribution. We consider five estimation methods for the point estimation of the proposed distribution. Then, a comprehensive Monte Carlo simulation study is carried out to assess the risk behavior of examined estimators.

show abstract

Section: Stochastic Orderingmentioning

confidence: 99%

“…respectively [11,12]. Balakrishnan and He [11] noticed that the distribution with CDF (4) is called" dual record-transmuted distribution".…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Transmuted Lower Record Type Power Function Distribution

Tanış

2021

J. Sci. Arts

View full text Add to dashboard Cite

show abstract

“…It should be noted that the typical regression estimator is based on the linear least square regression coefficient. For regression estimation, interested readers may refer to Ijaz et al [14] and Tanış et al [15]. e linear least squares or ordinary least squares (OLS) regression is the most conventional statistical method commonly used for parameter estimation due to its easy implementation.…”

Section: Introductionmentioning

confidence: 99%

Minimum Covariance Determinant-Based Quantile Robust Regression-Type Estimators for Mean Parameter

Shahzad

Al‐Noor

Afshan

et al. 2021

Mathematical Problems in Engineering

View full text Add to dashboard Cite

Robust regression tools are commonly used to develop regression-type ratio estimators with traditional measures of location whenever data are contaminated with outliers. Recently, the researchers extended this idea and developed regression-type ratio estimators through robust minimum covariance determinant (MCD) estimation. In this study, the quantile regression with MCD-based measures of location is utilized and a class of quantile regression-type mean estimators is proposed. The mean squared errors (MSEs) of the proposed estimators are also obtained. The proposed estimators are compared with the reviewed class of estimators through a simulation study. We also incorporated two real-life applications. To assess the presence of outliers in these real-life applications, the Dixon chi-squared test is used. It is found that the quantile regression estimators are performing better as compared to some existing estimators.

show abstract

A new Lindley distribution: applications to COVID-19 patients data

Tanış

2023

Soft Comput

View full text Add to dashboard Cite

Transmuted Lower Record Type Fréchet Distribution with Lifetime Regression Analysis Based on Type I-Censored Data

Cited by 9 publications

References 0 publications

Transmuted Lower Record Type Power Function Distribution

Transmuted Lower Record Type Power Function Distribution

Minimum Covariance Determinant-Based Quantile Robust Regression-Type Estimators for Mean Parameter

A new Lindley distribution: applications to COVID-19 patients data

Contact Info

Product

Resources

About