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In the following article we provide an exposition of exact computational methods to perform parameter inference from partially observed network models. In particular, we consider the duplication attachment (DA) model which has a likelihood…

统计计算 · 统计学 2013-06-20 Junshan Wang , Ajay Jasra , Maria De Iorio

The usual parametric models for survival data are of the following form. Some parametrically specified hazard rate $\alpha(s,\theta)$ is assumed for possibly censored random life times $X_1^0,\ldots,X_n^0$; one observes only…

统计方法学 · 统计学 2026-03-25 Nils Lid Hjort

In reliability and life testing studies, the topic of estimating hazard rate has received great attention in recent years since an estimate of hazard rate is a quite useful tool for making decisions. Some works have included nonparametric…

统计理论 · 数学 2012-05-24 Baris Surucu

Inferential challenges that arise when data are censored have been extensively studied under the classical frameworks. In this paper, we provide an alternative generalized inferential model approach whose output is a data-dependent…

统计方法学 · 统计学 2021-11-16 Joyce Cahoon , Ryan Martin

In the usual statistical inference problem, we estimate an unknown parameter of a statistical model using the information in the random sample. A priori information about the parameter is also known in several real-life situations. One such…

Some improved estimators of the location parameters of several exponential distributions with ordered restriction are derived and compared numerically using Monte Carlo simulations. Note that the two-parameter exponential distribution is…

统计理论 · 数学 2025-10-21 Shrajal Bajpai , Lakshmi Kanta Patra , Suchandan Kayal

Hierarchical statistical models are widely employed in information science and data engineering. The models consist of two types of variables: observable variables that represent the given data and latent variables for the unobservable…

机器学习 · 统计学 2014-02-21 Keisuke Yamazaki

Deterministic compartmental models are predominantly used in the modeling of infectious diseases, though stochastic models are considered more realistic, yet are complicated to estimate due to missing data. In this paper we present a novel…

统计计算 · 统计学 2022-06-22 Shuying Wang , Stephen G. Walker

Doubly intractable distributions arise in many settings, for example in Markov models for point processes and exponential random graph models for networks. Bayesian inference for these models is challenging because they involve intractable…

统计计算 · 统计学 2019-04-03 Jaewoo Park , Murali Haran

In many public health problems, an important goal is to identify the effect of some treatment/intervention on the risk of failure for the whole population. A marginal proportional hazards regression model is often used to analyze such an…

统计理论 · 数学 2007-06-13 Donglin Zeng

Hierarchical parametric models consisting of observable and latent variables are widely used for unsupervised learning tasks. For example, a mixture model is a representative hierarchical model for clustering. From the statistical point of…

机器学习 · 统计学 2014-01-24 Keisuke Yamazaki

In this article, the analysis of left truncated and right censored competing risks data is carried out, under the assumption of the latent failure times model. It is assumed that there are two competing causes of failures, although most of…

统计方法学 · 统计学 2020-08-19 Debasis Kundu , Debanjan Mitra , Ayon Ganguly

In this paper, we consider survival analysis with right-censored data which is a common situation in predictive maintenance and health field. We propose a model based on the estimation of two-parameter Weibull distribution conditionally to…

统计方法学 · 统计学 2020-02-24 Achraf Bennis , Sandrine Mouysset , Mathieu Serrurier

Bayesian nonparametric inferential procedures based on Markov chain Monte Carlo marginal methods typically yield point estimates in the form of posterior expectations. Though very useful and easy to implement in a variety of statistical…

统计理论 · 数学 2016-05-04 Julyan Arbel , Antonio Lijoi , Bernardo Nipoti

This paper proposes a new extension of the linear failure rate (LFR) model to better capture real-world lifetime data. The model incorporates an additional shape parameter to increase flexibility. It helps model the minimum survival time…

统计方法学 · 统计学 2026-01-13 Suchismita Das , Akul Ameya , Cahyani Karunia Putri

Parameter estimation is one of the most important tasks in statistics, and is key to helping people understand the distribution behind a sample of observations. Traditionally parameter estimation is done either by closed-form solutions…

机器学习 · 计算机科学 2024-03-04 Xiaoxin Yin , David S. Yin

We present a conformal inference method for constructing lower prediction bounds for survival times from right-censored data, extending recent approaches designed for more restrictive type-I censoring scenarios. The proposed method imputes…

统计方法学 · 统计学 2025-05-26 Matteo Sesia , Vladimir Svetnik

In this paper we analyse the behaviour of adaptive filters or detectors when they are trained with $t$-distributed samples rather than Gaussian distributed samples. More precisely we investigate the impact on the distribution of some…

统计理论 · 数学 2021-03-04 Olivier Besson

Analysis of random censored life-time data along with some related stochastic covariables is of great importance in many applied sciences like medical research, population studies and planning etc. The parametric estimation technique…

统计理论 · 数学 2019-05-09 Abhik Ghosh , Ayanendranath Basu

This study proposes improved chain-ratio type estimator for estimating population mean using some known values of population parameter(s) of the second auxiliary character. The proposed estimators have been compared with two-phase ratio…

综合数学 · 数学 2008-10-14 Rajesh Singh , Pankaj Chauhan , Nirmala Sawan , Florentin Smarandache