A new two-parameter over-dispersed discrete distribution with mathematical properties, estimation, regression model and applications.

This paper focuses on the derivation of a new two-parameter discrete probability distribution. The new model is derived by mixing Poisson and Loai distributions and is named "Poisson Loai Distribution". The paper explores various mathematical properties of the new model, introducing a count-regression model based on this distribution.

Classical and Bayesian inference for the new four-parameter Lomax distribution with applications.

In this study, a new four-parameter Lomax distribution is proposed using a new alpha power transformation technique. The new distribution is named "New Alpha Power Transformed Power Lomax Distribution." Mathematical properties, including moments, the moment-generating function, the mean residual life, order statistics, and the quantile function, are obtained.

An exponentiated XLindley distribution with properties, inference and applications.

In this paper, we propose exponentiated XLindley (EXL) distribution. The novel model is adaptable due to the mixt shapes of its density and failure rate functions. The following key statistical properties of EXL distribution are derived: quantile function, moments, hazard function, mean residual life, and Rényi entropy.

A new extension of Poisson distribution for asymmetric count data: theory, classical and Bayesian estimation with application to lifetime data.

Several research investigations have stressed the importance of discrete data analysis and its relevance to actual events. The current work focuses on a new discrete distribution with a single parameter that can be derived using the Poisson mixing technique. The new distribution is named the Poisson Entropy-Based Weighted Exponential Distribution.

A new one-parameter discrete probability distribution with its neutrosophic extension: mathematical properties and applications.

Count data modeling's significance and its applicability to real-world occurrences have been emphasized in a number of research studies. The purpose of this work is to introduce a new one-parameter discrete distribution for the modeling of count datasets. Some mathematical properties, such as reliability measures, characteristic function, moment-generating function, and associated measurements, such as mean, variance, skewness, kurtosis, and index of dispersion, have been derived and studied.

A new cubic transmuted power-function distribution: Properties, inference, and applications.

A new three-parameter cubic transmuted power distribution is proposed using the cubic rank transformation. The density and hazard functions of the new distribution provide great flexibility. Some mathematical properties of the new model such as quantile function, moments, dispersion index, mean residual life, and order statistics are derived.

The enhanced photocatalytic performance and first-principles computational insights of Ba doping-dependent TiO quantum dots.

Degradation in the presence of visible light is essential for successfully removing dyes from industrial wastewater, which is pivotal for environmental and ecological safety. In recent years, photocatalysis has emerged as a prominent technology for wastewater treatment. This study aimed to improve the photocatalytic efficiency of synthesized TiO quantum dots (QDs) under visible light by barium (Ba) doping.

Poisson XLindley Distribution for Count Data: Statistical and Reliability Properties with Estimation Techniques and Inference.

In this study, a new one-parameter count distribution is proposed by combining Poisson and XLindley distributions. Some of its statistical and reliability properties including order statistics, hazard rate function, reversed hazard rate function, mode, factorial moments, probability generating function, moment generating function, index of dispersion, Shannon entropy, Mills ratio, mean residual life function, and associated measures are investigated. All these properties can be expressed in explicit forms.

Modeling of COVID-19 Cases in Pakistan Using Lifetime Probability Distributions.

The Coronavirus Disease (COVID-19) is a respiratory disease that caused a large number of deaths all over the world since its outbreak. The World Health Organization (WHO) has declared the outbreak a global pandemic. The understanding of the random process related to the behavior infection of COVID-19 is an important health and economic problem.

Correction: Comparison of Two New Robust Parameter Estimation Methods for the Power Function Distribution.

[This corrects the article DOI: 10.1371/journal.pone.

Comparison of Two New Robust Parameter Estimation Methods for the Power Function Distribution.

Estimation of any probability distribution parameters is vital because imprecise and biased estimates can be misleading. In this study, we investigate a flexible power function distribution and introduced new two methods such as, probability weighted moments, and generalized probability weighted methods for its parameters. We compare their results with L-moments, trimmed L-moments by a simulation study and a real data example based on performance measures such as, mean square error and total deviation.

Association Between Socio-Demographic Background and Self-Esteem of University Students.

The purpose of this study was to scrutinize self-esteem of university students and explore association of self-esteem with academic achievement, gender and other factors. A sample of 346 students was selected from Punjab University, Lahore Pakistan. Rosenberg self-esteem scale with demographic variables was used for data collection.

Nalbuphine prevents haemodynamic response to endotracheal intubation.

Objective: To determine the efficacy of nalbuphine in preventing the increase in heart rate and mean arterial pressure in response to laryngoscopy and orotracheal intubation.

Design: A comparative trial.

Place And Duration Of Study: Department of Anaesthesia, Pakistan Naval Hospital Shifa, Karachi, Pakistan, from January 2001 to January 2002.

Paramedian technique of spinal anesthesia in elderly patients for hip fracture surgery.

The objective of this study was to observe the success rate, difficulties and complications during the technique of spinal anesthesia through para median approach in elderly frail patients with spinal abnormalities, for femur fracture surgery. Case series study was performed at Pakistan Naval Shifa Hospital, Karachi, Pakistan from August 2002 to July 2003, after approval from Scientific Research Council of the Hospital and consent of the patients. Forty elderly patients with spinal abnormalities, ASA II, age 88+/- 8 years, weight 68.