Change Point Method with Half Logistic Rayleigh Distribution (HLRD)

The Type I Generalized Half Logistic Distribution

In this paper, we considered the half logistic model and derived a probability density function that generalized it. The cumulative distribution function, the $n^{th}$ moment, the median, the mode and the 100$k$-percentage points of the generalized distribution were established. Estimation of the parameters of the distribution through maximum likelihood method was accomplished with the aid of c...

On Type Iii Generalized Half Logistic Distribution

It is well known that generalized models is attracting the attention of researchers in recent times because of their flexibilities. Particularly, the logistic model has been generalized and applied by many authors while the half logistic distribution has not recieve much attention in term of its generalization. In this paper, we considered a generalized form of half logistic model called type I...

Testing change-point in logistic models with covariate measurement error

We test the presence of a change of slope in a logistic regression model with covariate measured with errors. Under the null hypothesis of no change-point, estimation of a single intercept and slope can be carried out straightforwardly by various conditional score based methods. If the alternative hypothesis holds and indeed there exists a change-point, estimation becomes more challenging, neve...

Change point testing in logistic regression models with interaction term.

A threshold effect takes place in situations where the relationship between an outcome variable and a predictor variable changes as the predictor value crosses a certain threshold/change point. Threshold effects are often plausible in a complex biological system, especially in defining immune responses that are protective against infections such as HIV-1, which motivates the current work. We st...

Estimation and Testing in Type I Generalized Half Logistic Distribution