Subjective Bayesian Analysis: Principles and Practice

Goldstein, Michael

doi:10.1214/06-ba116

Cited by 172 publications

(145 citation statements)

References 7 publications

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“…The form of the prior can have important consequences on the resulting Bayes factor. As discussed in our third source (Dienes, 2011), there are two primary schools of Bayesian thought: default (objective) Bayes (Berger, 2006) and contextdependent (subjective) Bayes (Goldstein et al, 2006;. The default Bayesian tries to specify prior distributions that convey little information while maintaining certain desirable properties.…”

Section: Source: Rouder Et Al (2009) -Bayesian T-tests For Acceptingmentioning

confidence: 99%

How to become a Bayesian in eight easy steps: An annotated reading list

et al. 2017

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In this guide, we present a reading list to serve as a concise introduction to Bayesian data analysis. The introduction is geared toward reviewers, editors, and interested researchers who are new to Bayesian statistics. We provide commentary for eight recommended sources, which together cover the theoretical and practical cornerstones of Bayesian statistics in psychology and related sciences. The resources are presented in an incremental order, starting with theoretical foundations and moving on to applied issues. In addition, we outline an additional 32 articles and books that can be consulted to gain background knowledge about various theoretical specifics and Bayesian approaches to frequently used models. Our goal is to offer researchers a starting point for understanding the core tenets of Bayesian analysis, while requiring a low level of time commitment. After consulting our guide, the reader should understand how and why Bayesian methods work, and feel able to evaluate their use in the behavioral and social sciences.

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Section: Source: Rouder Et Al (2009) -Bayesian T-tests For Acceptingmentioning

confidence: 99%

How to become a Bayesian in eight easy steps: An annotated reading list

et al. 2017

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“…Such distributions are called objective or noninformative priors, one may refer to DeGroot and Schervish [8] and Press [9]. One may also refer to Berger [10] and Goldstein [11] for information about objective Bayesian versus subjective Bayesian analysis.…”

Section: Bayesian Analysis Using Phreg Proceduresmentioning

confidence: 99%

Proportional Hazard Regression Model with Bayesian Approach

Aggarwal¹,

Sharma²,

Jain³

2016

JAS

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The purpose of survival analysis is to model the underlying distribution of the failure time variable and to assess the dependence of the failure time variable on independent variables. In this paper, we explored PHREG procedure for different models using Bayesian approach. PHREG procedure not only fits COX model but also allows us to fit a piecewise exponential model. The Bayesian analysis treats model parameters as random variables and the inference about these parameters is based on posterior distribution of the parameters. A posterior distribution is a weighted likelihood function of the data with a prior distribution of the parameters using the Bayes' theorem. Generally, for model regression coefficients, normal or uniform prior distributions are used in PHREG procedure. In addition to this, one may specify gamma or improper prior distribution for the scale or variance parameters as well as for hazard parameters in piecewise exponential model. PHREG procedure have been demonstrated with application to real life dataset. Bayesian analysis with PHREG procedure and piecewise constant Bayesian hazard model is also explored along with diagnostic test.

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“…For a comparison of the contrasting arguments see Berger (2006), Goldstein (2006) and the related discussion. The same proponents of the objective approach (Berger, Bernardo and Sun, 2009) remark however that the term "objective" means that it only depends on the model assumed and the data obtained, so that the kind of objectivity is simply the same of the frequentist statistics.…”

Section: Prior Probabilitiesmentioning

confidence: 99%

New Technologies and Statistics: Partners for Environmental Monitoring and City Sensing

Borga

Camporese

Iandelli

et al. 2014

Studies in Theoretical and Applied Statistics

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The agricultural investigation of the italian Parliament, published in 1884, also highlighted, especially in reports on individual territorial districts, the importance of chestnut in the italian mountains. Since the early twentieth century are available long time series collected by ISTAT (National Statistics Institute) data on surface and production of the chestnut and foreign trade of the chestnuts. Key words:Role of the chestnut, statistics, multifunctionality, agricultural policy Official statistics and role of the chestnutThe chestnut (Castanea sativa Miller) is the breadfruit and the tree of life that precedes and then accompanies the first man in history. Since Roman times, and even more in the Middle Ages and in Modern times, Italy is the european territory in which the chestnut spreads further contributing increasingly to the survival of the mountaineer.In the second half of the nineteenth century, the widespread presence of chestnut still identifies two particular social and economic situations: "The international poverty and the chestnut" portrays the role of the chestnuts in human nutrition in large parts of the Alps and the Apennines and "The civilization of the chestnut" photographs with a still of the customs, traditions, use of timber, fruit and use rules that govern the lives of many mountaineers from Piemonte to Veneto, from Lombardia to Calabria [1].The agricultural investigation of the italian Parliament, published in 1884-1886, also highlighted, especially in reports on individual territorial districts, the importance of chestnut in the italian mountains [2].Since the early twentieth century are available long time series collected by Ministry of Finance [3] and ISTAT (National Statistics Institute) [4, 5, 6] data on surface and production of the chestnut and foreign trade of the chestnuts.The examination of the many available statistical data to divide the evolution of italian chestnut by the unit to date in four historical periods.Adua Mario, Istituto Nazionale di Statistica (ISTAT), email: adua@istat.it 1951 1956 1961 1966 1971 1976 1981 1986 1991 1996 2001 Years The first period: "the autumn of the patriarch"The first period, from 1901 to 1950, "the autumn of the patriarch", is characterized by a general decrease in cultivation, however, maintains basically stable overall role of the italian mountain agro-forestry. In the early twentieth century, based on the conclusion of the Agricultural cadastre, it began the publishing of annual data of forestry; for 1910 it was estimated a total area in high forest of chestnut of 652 thousand hectares and a production of 607 thousand tons (Fig. 1). In 1911 it was observed the historical maximun of production: 830 thousand tons. In the thirties ISTAT (then Central Statistics Institute) [7] realizes the survey on the cultivation of chestnut in Italy -Years 1934. This survey is the picture sharper and more detailed on the role of the chestnut tree in the agricultural landscape and chestnuts in the diet. The survey shows a total area o...

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Subjective Bayesian Analysis: Principles and Practice

Cited by 172 publications

References 7 publications

How to become a Bayesian in eight easy steps: An annotated reading list

How to become a Bayesian in eight easy steps: An annotated reading list

Proportional Hazard Regression Model with Bayesian Approach

New Technologies and Statistics: Partners for Environmental Monitoring and City Sensing

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