Progress on a Simplified Model of Stationary Purchasing Behaviour

Chatfield, Christopher; Ehrenberg, A. S. C.; Goodhardt, G. J.

doi:10.1007/978-3-642-51565-1_15

Cited by 39 publications

(36 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…From table 3, it can be observed that the calculated value of the test statistic is greater than the tabled value in all the above situation and hence one can conclude that of the additional parameters 2 θ and 3 θ are significant in case first data set and the additional parameter 2 θ is significant in case of second data set, at 5% level of significance.…”

Section: Generalized Likelihood Ratio Testmentioning

confidence: 78%

“…The test statistic S given in (5.2) follows chi-square distribution with m degrees of freedom (for details see Rao,24). For testing the significance of the additional parameters of the ALSD( k ) for 3 = k in case of the first data set we consider the following three tests: From table 4, it can be observed that the calculated value of the test statistic is greater than the tabled value in all the above situations and hence one can conclude that the additional parameters 2 θ and 3 θ are significant in case first data set and the additional parameter 2 θ is significant in case of the second data set, at 5% level of significance.…”

Section: Rao's Efficient Score Testmentioning

confidence: 99%

“…An application of the LSD to an inventory control problem in steel industry appears in Williamson and Bretherton [30]. Chatfield et al [2] utilized the LSD to represent the distribution of number of items of a product purchased by a buyer in a specified time period. The LSD has been found application in several practical situations such as the studies on sampling of quadrants for plant species, the distribution of animal species, population growth, biology, economics, inventory models and marine sciences.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The Alpha-Logarithmic Series Distribution of Order ligkl/ig and Some of Its Applications

Kumar¹,

Riyaz²

2016

JSTA

View full text Add to dashboard Cite

Here we develop an order k version of the alpha-logarithmic series distribution of Kumar and Riyaz (South African Statist. J., 2014) through its probability generating function and derive its probability mass function, mean and variance. The parameters of the model are estimated by the method of maximum likelihood and the distribution has been fitted to certain real life data sets. Certain test procedures are considered for testing the significance of the additional parameters of the distribution. In addition, a simulation study is conducted for assessing the performance of the likelihood estimators of each of the parameters of the model.

show abstract

Section: Generalized Likelihood Ratio Testmentioning

confidence: 78%

Section: Rao's Efficient Score Testmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

The Alpha-Logarithmic Series Distribution of Order ligkl/ig and Some of Its Applications

Kumar¹,

Riyaz²

2016

JSTA

View full text Add to dashboard Cite

show abstract

“…Figure 3 shows the main idea of purchase incidence models: a consumer buys a product according to a stationary Poisson process which is independent of the other buying processes. Aggregation of these buying processes over the population under the (quite general) assumption that the parameters of the Poisson distributions (the long-run average purchase rates) follow a truncated -distribution results in a logarithmic series distribution (LSD) as Chatfield et al [Chatfield et al, 1966] have shown.…”

Section: Ehrenberg´s Repeat-buying Theory and Bundles Of Information mentioning

confidence: 99%

Behavior-Based Recommender Systems as Value-Added Services for Scientific Libraries

Geyer-Schulz¹,

Hahsler²,

Neumann³

et al. 2003

Statistical Data Mining and Knowledge Discovery

View full text Add to dashboard Cite

Abstract. Amazon.com paved the way for several large-scale, behavior-based recommendation services as an important value-added expert advice service for online book shops. In this contribution we discuss the effects (and possible reductions of transaction costs) for such services and investigate how such a value-added service can be implemented in the context of scientific libraries. For this purpose we present a new, recently developed recommender system based on a stochastic purchase incidence model, present the underlying stochastic model from repeat-buying theory and analyze whether the underlying assumptions on consumer behavior hold for users of scientific libraries, too. We have analyzed the logfiles with approximately 85 million http-transactions of the web-based online public access catalog (OPAC) of the library of the Universität Karlsruhe (TH) since January 2001 and performed some diagnostic checks. A test prototype is already operational and is currently being evaluated. The recommender service will be fully operational within the library system of the Universität Karlsruhe (TH) by the end of June 2002.

show abstract

“…The negative binomial assumption has been used in empirical work for several decades. For example, Chatfield et al (1966) used a single negative binomial regression equation to model household purchases. And Rao et al (1973) model the number of boys and the number of girls born to a pair of parents as symmetric binomialsconditioned on a negative binomial for the total.…”

Section: Statistical Specificationmentioning

confidence: 99%

A model for time- and budget-constrained activity demand analysis

Kockelman

2001

Transportation Research Part B: Methodological

View full text Add to dashboard Cite

This paper describes and demonstrates the derivation of a system of demands for activity participation by applying microeconomic theory in a time-price setting. Both time and money constraints are incorporated explicitly and the integer nature of demand observations is accommodated via a multivariate negative binomial stochastic specification. A model based on this theory is calibrated, providing estimates of income, discretionary-time, and cross-time elasticities. The results reject a constant travel time hypothesis but do not reject a hypothesis of no income effects on total activity participation.

show abstract

Progress on a Simplified Model of Stationary Purchasing Behaviour

Cited by 39 publications

References 15 publications

The Alpha-Logarithmic Series Distribution of Order ligkl/ig and Some of Its Applications

The Alpha-Logarithmic Series Distribution of Order ligkl/ig and Some of Its Applications

Behavior-Based Recommender Systems as Value-Added Services for Scientific Libraries

A model for time- and budget-constrained activity demand analysis

Contact Info

Product

Resources

About