# On the minimum of independent geometrically distributed random variables

@article{Ciardo1995OnTM, title={On the minimum of independent geometrically distributed random variables}, author={Gianfranco Ciardo and Lawrence M Leemis and David M. Nicol}, journal={Statistics \& Probability Letters}, year={1995}, volume={23}, pages={313-326} }

## 12 Citations

### The Distribution of Order Statistics for Discrete Random Variables with Applications to Bootstrapping

- Computer ScienceINFORMS J. Comput.
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The part of the order-statistic algorithm for sampling with replacement from a finite sample can be used to perform exact bootstrapping analysis in certain applications, eliminating the need for replication in the analysis of a data set.

### Products of Random Variables

- Computer Science
- 2017

This chapter describes an algorithm for computing the PDF of the product of two independent continuous random variables. This algorithm has been implemented in the Product procedure in APPL. The…

### Sums of Independent Discrete Random Variables

- Mathematics
- 2017

This chapter presents an algorithm for computing the PDF of the sum of two independent discrete random variables, along with an implementation of the algorithm in APPL. Some examples illustrate the…

### The impact of stochastic variance on worm propagation and detection

- Computer ScienceWORM '06
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The main contributions of this paper are to validate the infection times of the TNI model with respect to a complex scan-oriented model based on Code Red structure, and to empirically evaluate the variance in intuitive and commonly used metrics for worm detection.

### An analytical model of TCP flow in multi-hop wireless networks

- Business, Computer ScienceIEEE Local Computer Network Conference
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A stochastic modelling technique is used to formulate the performance of the TCP flow, based on its interaction with the underlying wireless medium, for a single TCP flow over a multi-hop wireless network with arbitrary number of hops.

### CHAIN: Introducing minimum controlled coordination into random access MAC

- Computer Science2011 Proceedings IEEE INFOCOM
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This paper presents a distributed random media access protocol, named CHAIN, which significantly improves uplink performance of WLANs, and analytically proves the correctness and fairness of CHAIN.

### Order Statistics for Random Sampling from Discrete Populations

- Computer Science, Mathematics
- 2017

This chapter presents an algorithm for computing the PDF of order statistics drawn from discrete parent populations, along with an implementation of the algorithm in APPL. Several examples illustrate…

### Two Distributions Designed to Minimize the Expected Delay in CSMA Networks

- MathematicsIEEE Signal Processing Letters
- 2016

A carrier sense multiple access network is considered and two distributions for random slot selection that minimize the expected delay of the first or the first successful transmission under a…

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