This article introduces a two-parameter exponentiated Teissier distribution. It is the main advantage of the distribution to have increasing, decreasing and bathtub shapes for its hazard rate function. The expressions of the ordinary moments, identifiability, quantiles, moments of order statistics, mean residual life function and entropy measure are derived. The skewness and kurtosis of the distribution are explored using the quantiles. In order to study two independent random variables, stress–strength reliability and stochastic orderings are discussed. Estimators based on likelihood, least squares, weighted least squares and product spacings are constructed for estimating the unknown parameters of the distribution. An algorithm is presented for random sample generation from the distribution. Simulation experiments are conducted to compare the performances of the considered estimators of the parameters and percentiles. Three sets of real data are fitted by using the proposed distribution over the competing distributions.

本文介绍了二参数指数 Teissier 分布。该分布的主要优点是其风险率函数具有递增、递减和浴盆形状。推导了普通矩、可辨识性、分位数、阶统计矩、平均剩余寿命函数和熵测度的表达式。使用分位数探讨分布的偏度和峰度。为了研究两个独立的随机变量，讨论了应力-强度可靠性和随机排序。构建基于似然、最小二乘、加权最小二乘和乘积间距的估计器来估计分布的未知参数。提出了一种从分布中随机生成样本的算法。进行模拟实验来比较所考虑的参数和百分位数估计器的性能。通过在竞争分布上使用建议的分布来拟合三组真实数据。