Frequently one has to search within a finite population for a single particular individual or ite... more Frequently one has to search within a finite population for a single particular individual or item with a rare characteristic. Whether an item possesses the characteristic can only be determined by close inspection. The availability of additional information about the items in the population opens the way to a more effective search strategy than just random sampling or complete inspection of the population. We will assume that the available information allows for the assignment to all items within the population of a prior probability on whether or not it possesses the rare characteristic. This is consistent with the practice of using profiling to select high risk items for inspection. The objective is to find the specific item with the minimum number of inspections. We will determine the optimal search strategies for several models according to the average number of inspections needed to find the specific item. Using these respective optimal strategies we show that we can order the numbers of inspections needed for the different models partially with respect to the usual stochastic ordering. This entails also a partial ordering of the averages of the number of inspections.
2011 European Intelligence and Security Informatics Conference, 2011
Frequently one has to search within a finite population for a single particular individual or ite... more Frequently one has to search within a finite population for a single particular individual or item with a rare characteristic. Whether an item possesses the characteristic can only be determined by inspection. The availability of additional information about the items in the population opens the way to more effective inspection than just random or complete inspection of the population. We
The aim of this article is to construct consistent estimators of the mixing distribution in Poiss... more The aim of this article is to construct consistent estimators of the mixing distribution in Poisson mixture models. The case of uncensored as well as censored observations is considered. The IMSE is studied and the corresponding rates of convergence are obtained for the proposed estimators.
Disclaimer/Klachtenregeling Meent u dat de digitale beschikbaarstelling van bepaald materiaal inb... more Disclaimer/Klachtenregeling Meent u dat de digitale beschikbaarstelling van bepaald materiaal inbreuk maakt op enig recht dat u toekomt of uw (privacy)belangen schaadt, dan kunt u dit onderbouwd aan de Universiteitsbibliotheek laten weten. Bij een gegronde klacht zal de ...
We show that the general empirical process indexed by a subset F of L 2(P) converges weakly to a ... more We show that the general empirical process indexed by a subset F of L 2(P) converges weakly to a P -Brownian bridge process if and only if the corresponding Poissonized, or Kac, empirical process converges to a P -Brownian motion. Implications of Poissonization in bootstrap sampling are explored, and used to give a partial explanation of the relationship between the bootstrap limit theorems of Gin~and Zinn (1990a) and the multiplier central limit theorems of . We conclude with a random sample size central limit theorem for general empirical processes.
Disclaimer/Klachtenregeling Meent u dat de digitale beschikbaarstelling van bepaald materiaal inb... more Disclaimer/Klachtenregeling Meent u dat de digitale beschikbaarstelling van bepaald materiaal inbreuk maakt op enig recht dat u toekomt of uw (privacy)belangen schaadt, dan kunt u dit onderbouwd aan de Universiteitsbibliotheek laten weten. Bij een gegronde klacht zal de ...
We review semiparametric models and various methods of inference -efficient and inefficient -for ... more We review semiparametric models and various methods of inference -efficient and inefficient -for such models."
Frequently one has to search within a finite population for a single particular individual or ite... more Frequently one has to search within a finite population for a single particular individual or item with a rare characteristic. Whether an item possesses the characteristic can only be determined by close inspection. The availability of additional information about the items in the population opens the way to a more effective search strategy than just random sampling or complete inspection of the population. We will assume that the available information allows for the assignment to all items within the population of a prior probability on whether or not it possesses the rare characteristic. This is consistent with the practice of using profiling to select high risk items for inspection. The objective is to find the specific item with the minimum number of inspections. We will determine the optimal search strategies for several models according to the average number of inspections needed to find the specific item. Using these respective optimal strategies we show that we can order the numbers of inspections needed for the different models partially with respect to the usual stochastic ordering. This entails also a partial ordering of the averages of the number of inspections.
2011 European Intelligence and Security Informatics Conference, 2011
Frequently one has to search within a finite population for a single particular individual or ite... more Frequently one has to search within a finite population for a single particular individual or item with a rare characteristic. Whether an item possesses the characteristic can only be determined by inspection. The availability of additional information about the items in the population opens the way to more effective inspection than just random or complete inspection of the population. We
The aim of this article is to construct consistent estimators of the mixing distribution in Poiss... more The aim of this article is to construct consistent estimators of the mixing distribution in Poisson mixture models. The case of uncensored as well as censored observations is considered. The IMSE is studied and the corresponding rates of convergence are obtained for the proposed estimators.
Disclaimer/Klachtenregeling Meent u dat de digitale beschikbaarstelling van bepaald materiaal inb... more Disclaimer/Klachtenregeling Meent u dat de digitale beschikbaarstelling van bepaald materiaal inbreuk maakt op enig recht dat u toekomt of uw (privacy)belangen schaadt, dan kunt u dit onderbouwd aan de Universiteitsbibliotheek laten weten. Bij een gegronde klacht zal de ...
We show that the general empirical process indexed by a subset F of L 2(P) converges weakly to a ... more We show that the general empirical process indexed by a subset F of L 2(P) converges weakly to a P -Brownian bridge process if and only if the corresponding Poissonized, or Kac, empirical process converges to a P -Brownian motion. Implications of Poissonization in bootstrap sampling are explored, and used to give a partial explanation of the relationship between the bootstrap limit theorems of Gin~and Zinn (1990a) and the multiplier central limit theorems of . We conclude with a random sample size central limit theorem for general empirical processes.
Disclaimer/Klachtenregeling Meent u dat de digitale beschikbaarstelling van bepaald materiaal inb... more Disclaimer/Klachtenregeling Meent u dat de digitale beschikbaarstelling van bepaald materiaal inbreuk maakt op enig recht dat u toekomt of uw (privacy)belangen schaadt, dan kunt u dit onderbouwd aan de Universiteitsbibliotheek laten weten. Bij een gegronde klacht zal de ...
We review semiparametric models and various methods of inference -efficient and inefficient -for ... more We review semiparametric models and various methods of inference -efficient and inefficient -for such models."
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Papers by Chris Klaassen