On the reversed hazard rate of sequential order statistics

Burkschat, Marco; Torrado, Nuria

doi:10.1016/j.spl.2013.11.015

Cited by 20 publications

(7 citation statements)

References 32 publications

(34 reference statements)

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“…A sufficient condition for Φ i (v) to be non-decreasing is for fi (v) Fi(v) to be non-increasing. This requirement is satisfied for a variety of distributions such as uniform and exponential [20].…”

Section: Theorem 1 the First Best Involves Amentioning

confidence: 99%

Notice of Violation of IEEE Publication Principles: Data Trading with a Monopoly Social Network: Outcomes Are Mostly Privacy Welfare Damaging

Pal

Wang

et al. 2020

IEEE Netw. Lett.

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This paper argues that data of strategic individuals with heterogeneous privacy valuations in a distributed online social network (e.g., Facebook) will be underpriced , if traded in a monopoly buyer setting, and will lead to diminishing utilitarian welfare. This result, for a certain family of online community data trading problems, is in stark contrast to a popular information economics intuition that increased amounts of enduser data signals in a data market improves its efficiency. Our proposed theory paves the way for a future (counter-intuitive) analysis of data trading oligopoly markets for online social networks (OSNs).

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Section: Theorem 1 the First Best Involves Amentioning

confidence: 99%

Notice of Violation of IEEE Publication Principles: Data Trading with a Monopoly Social Network: Outcomes Are Mostly Privacy Welfare Damaging

Pal

Wang

et al. 2020

IEEE Netw. Lett.

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“…increasing). Results on aging properties, like the IFR and DFR classes, of SOS can be found in Cramer and Kamps [16], Cramer [13], Burkschat and Navarro [9], Torrado, Lillo, and Wiper [39], Burkschat and Torrado [12].…”

Section: Limiting Properties and Bounds Of Aging Functionsmentioning

confidence: 99%

Stochastic Comparisons of Systems Based on Sequential Order Statistics via Properties of Distorted Distributions

Burkschat¹,

Navarro²

2017

Prob. Eng. Inf. Sci.

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We consider systems based on sequential order statistics (SOS) with underlying distributions possessing proportional hazard rates (PHRs). In that case, the lifetime distribution of the system can be expressed as a distorted distribution. Motivated by the distribution structure in the case of pairwise different model parameters, a particular class of distorted distributions, the generalized PHR model, is introduced and characterizations of stochastic comparisons for several stochastic orders are obtained. Moreover, results on the asymptotic behavior of some aging characteristics, for example, the hazard rate and the mean residual life function, of general distorted distributions as well as related bounds are given. The results are supplemented with limiting properties of the systems in the case of possibly equal model parameters. Some examples are presented in order to illustrate the application of the findings to systems based on SOS and also to systems with independent heterogeneous components.

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“…A sufficient condition for Assumption 2 to hold is for the reversed hazard rate f i (x)/F i (x) to be nonincreasing. This requirement is satisfied for a variety of distributions such as uniform and exponential (see e.g., Burkschat and Torrado [2014]).…”

Section: Equilibrium Characterizationmentioning

confidence: 99%

Too Much Data: Prices and Inefficiencies in Data Markets

Acemoğlu

Makhdoumi

Malekian

et al. 2022

American Economic Journal: Microeconomics

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When a user shares her data with online platforms, she reveals information about others. In such a setting, externalities depress the price of data because once a user's information is leaked by others, she has less reason to protect her data and privacy. These depressed prices lead to excessive data sharing. We characterize conditions under which shutting down data markets improves welfare. Platform competition does not redress the problem of excessively low data prices and too much data sharing and may further reduce welfare. We propose a scheme based on mediated data sharing that improves efficiency. (JEL D62, D83, H23, L51, L86, L88)

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On the reversed hazard rate of sequential order statistics

Cited by 20 publications

References 32 publications

Notice of Violation of IEEE Publication Principles: Data Trading with a Monopoly Social Network: Outcomes Are Mostly Privacy Welfare Damaging

Notice of Violation of IEEE Publication Principles: Data Trading with a Monopoly Social Network: Outcomes Are Mostly Privacy Welfare Damaging

Stochastic Comparisons of Systems Based on Sequential Order Statistics via Properties of Distorted Distributions

Too Much Data: Prices and Inefficiencies in Data Markets

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