Different Estimation Methods for New Probability Distribution Approach Based on Environmental and Medical Data

In this article, we introduce a new extension of the power Lomax (PLo) model by combining type II exponentiated half-logistic class statistical models and PLo model. The suggested called half-logistic-PLo (TIIEHL-PLo) However, TIIEHL-PLo is more flexible applicable than some extensions THE model, especially those in environmental medical fields. Some general properties are computed. Six different estimation approaches, namely maximum likelihood (ML), least-square (LS), weighted least-squares (WLS), product spacing (MPS), Cramér–von Mises (CVM), Anderson–Darling (AD) utilized to estimate parameters simulation experiment examines accuracy employing six methodologies estimation. study, analyze three real datasets from fields highlight relevance adaptability proposed approach. newly exceptionally adaptable outperforms several well-known models.