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Log-logistic

Truncated log-logistic Family of Distributions

Truncated log-logistic Family of Distributions

... exponentiated generalized by Cordeiro et al. (6), transformed-transformer (T-X) by Alzaatreh et al. (7), exponentiated T-X by Alzaghal et al. (8), odd Weibull-G by Bourguignon et al. (9), exponentiated half- ...

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Truncated Life Test Sampling Plan under Log-Logistic Model

Truncated Life Test Sampling Plan under Log-Logistic Model

... iii. introduces sharp growth in sample size when the shape parameter (β) increases with relatively shorter test times. The effect of the change in the shape parameter β with reference to the minimum sample size and the ...

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A Time Truncated Improved Group Sampling Plans for Rayleigh and Log - Logistic Distributions

A Time Truncated Improved Group Sampling Plans for Rayleigh and Log - Logistic Distributions

... Suppose that an experimenter wants to establish that the life time of the electrical devices produced in the factory ensures that the true unknown mean life is at least 1000 hrs when the mean ratio is 2 with β =0.05 and ...

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The odd log-logistic logarithmic generated family of distributions with applications in different areas

The odd log-logistic logarithmic generated family of distributions with applications in different areas

... We study some mathematical properties of the odd log-logistic logarithmic-G family of distributions with two extra shape parameters α > 0 and β ∈ ( 0, 1 ) . We provide some special models, a very useful ...

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The Odd Log-Logistic Generalized Half-Normal Lifetime Poisson Model

The Odd Log-Logistic Generalized Half-Normal Lifetime Poisson Model

... The source of the second data set is the open university. The following data are the prices of the 31 different children’s wooden toys on sale in a Suffolk craft shop in April 1991: 4.2, 1.12, 1.39, 2, 3.99, 2.15, 1.74, ...

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Generalized log-logistic proportional hazard model with applications in survival analysis

Generalized log-logistic proportional hazard model with applications in survival analysis

... This example illustrates the use of the generalized log-logistic distribution in joint mod- eling. Rizopoulos (2012) described a study involving 467 human immunodeficiency virus (HIV) infected patients who ...

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A parametric method for cumulative incidence modeling with a new four-parameter log-logistic distribution

A parametric method for cumulative incidence modeling with a new four-parameter log-logistic distribution

... four-parameter log-logistic distribution by extension of a two-parameter log-logistic distribution that contains different kinds of hazard shapes in survival data and increases the efficiency ...

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On Discriminating between Gamma and Log-logistic Distributions  in Case of Progressive Type II Censoring

On Discriminating between Gamma and Log-logistic Distributions in Case of Progressive Type II Censoring

... and log-logistic distribution functions only when the distance between them is greater than or equal ...is log-logistic then one needs n=125 to meet the same protection ...and ...

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Discriminating Between Weibull and Log-Logistic Distributions in Presence of Progressive Type II Censoring

Discriminating Between Weibull and Log-Logistic Distributions in Presence of Progressive Type II Censoring

... Noticed that the PCS works quite well even for small sample sizes. Interestingly, It is quite clear from Tables 2 and 3 that as the sample size increases the PCS increases as expected. It is also clear that as the shape ...

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Software Reliability Growth Models with Log logistic Testing Effort Function: A Comparative Study

Software Reliability Growth Models with Log logistic Testing Effort Function: A Comparative Study

... This paper discussed exponential type and S-shaped type SRGMs with Log-logistic testing-effort. We estimated the parameters and analyzed the predictive capability of exponential growth and S-shaped growth ...

6

The New Odd Log-Logistic Generalised Half-Normal Distribution: Mathematical Properties and Simulations

The New Odd Log-Logistic Generalised Half-Normal Distribution: Mathematical Properties and Simulations

... In this paper, A new class of distributions called the odd log-logistic generalized half-normal (NOLL-GHN) family with four parameters is introduced and studied. Some of its various properties including ...

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The Odd Log-Logistic Power Series Family of Distributions: Properties and Applications

The Odd Log-Logistic Power Series Family of Distributions: Properties and Applications

... A new family of continuous distributions obtained by compounding the odd log-logistic and power series distributions is introduced. The mathematical properties of the proposed family are discussed. The ...

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On the Moments, Cumulants, and Characteristic Function of the Log-Logistic Distribution

On the Moments, Cumulants, and Characteristic Function of the Log-Logistic Distribution

... the log-logistic distribution (α,β) by using Moment Generating Function (MGF) and proved by definition, that is through the expected value of the log- logistic random ...the ...

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On Transmuted Four Parameters Generalized Log-Logistic Distribution

On Transmuted Four Parameters Generalized Log-Logistic Distribution

... A quasi Newton algorithm was implemented in R package and the performances of the models are shown in Table 1. Akaike Information criterion (AIC), Corrected Akaike Information criterion (AICC) and Bayesian Information ...

6

Classes of Ordinary Differential Equations Obtained for the Probability Functions of Logistic and Log-Logistic Distributions

Classes of Ordinary Differential Equations Obtained for the Probability Functions of Logistic and Log-Logistic Distributions

... Abstract— Differential calculus was used to obtain the ordinary differential equations (ODE) of the probability density function (PDF), Quantile function (QF), survival function (SF) and hazard function (HF) of the ...

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Discriminating Between Weibull And Log-Logistic Distributions

Discriminating Between Weibull And Log-Logistic Distributions

... The rest of the paper is organized as follows. In Section 2, the test statistic is presented. In Section 3, the asymptotic distributions of the test statistic under null hypotheses is obtained. The minimum sample size ...

14

RELIABILITY TEST PLANS BASED ON LOG-LOGISTIC DISTRIBUTION

RELIABILITY TEST PLANS BASED ON LOG-LOGISTIC DISTRIBUTION

... for Log logistic distribution with shape parameter (β = 3) following Braverman (1981, Ch ...the Log logistic distribution (β = 3) as the failure density governing the life times of the product ...

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DISCRIMINATING BETWEEN LOG-LOGISTIC AND RAYLEIGH DISTRIBUTIONS

DISCRIMINATING BETWEEN LOG-LOGISTIC AND RAYLEIGH DISTRIBUTIONS

... with log logistic ...to log-logistic distribution at least for the sake of adopting the analytical, powerful inferential characteristics of Rayleigh distribution for the data following ...

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Future of option pricing: use of log logistic distribution instead of log normal distribution in Black Scholes model

Future of option pricing: use of log logistic distribution instead of log normal distribution in Black Scholes model

... by log logistic distribution instead of log normal distribution, which results in any analysis based on log normal distribution flawed and prone to ...

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Approximations of the Generalized Log-Logistic Distribution to the Chi-Square Distribution

Approximations of the Generalized Log-Logistic Distribution to the Chi-Square Distribution

... generalized log- logistic distribution to the one-parameter Chi-square ...generalized log-logistic distribution to the one-parameter Chi-square distribution with υ degrees of ...

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