Search
Search Results
-
Generating Function Methods for Run and Scan Statistics
Runs and pattern statistics have found successful applications in various fields. Many classical results of distributions of runs were obtained by...
-
The Distribution of the Length of the Longest Increasing Subsequence in Random Permutations of Arbitrary Multi-sets
The distribution of the length of the longest increasing subsequence in random permutations of arbitrary multi-sets is obtained using the finite...
-
Understanding nonsense correlation between (independent) random walks in finite samples
Consider two independent random walks. By chance, there will be spells of association between them where the two processes move in the same...
-
On the Exact Distributions of Pattern Statistics for a Sequence of Binary Trials: A Combinatorial Approach
Consider a sequence of exchangeable or Markov-dependent binary (zero-one) trials. A sequence of independent and identically distributed binary trials...
-
Change point detection in text data
The analysis of text data using artificial intelligence and statistical methods has become increasingly important in recent years. One application is...
-
Voting Rights, Markov Chains, and Optimization by Short Bursts
Finding outlying elementsin probability distributions can be a hard problem. Taking a real example from Voting Rights Act enforcement, we consider...
-
Research on Probability Models for Cluster of Points Before the Year 1960
Scan statistics describe large number of events or objects clustered close in time or space. A few special cases of scan statistics – long success...
-
Modelling Performance and Fairness of Frame Bursting in IEEE 802.11n Using PEPA
IEEE 802.11n is a relatively inexpensive high throughput WLAN standard, which has been used in many wireless devices. The achievable capacity...
-
Generating Function Methods for Run and Scan Statistics
Runs and pattern statistics have found successful applications in various fields. Many classical results of distributions of runs were obtained by...
-
funLOCI: A Local Clustering Algorithm for Functional Data
Nowadays, an increasing number of problems involve data with one infinite continuous dimension known as functional data. In this paper, we introduce...
-
Enhanced Sliding Window-Based Periodic Pattern Mining from Dynamic Streams
Discovering frequent patterns has been an important problem for knowledge discovery. The efficient discovery of interesting patterns—such as weighted...
-
Safeness: Suffix Arrays Driven Materialized View Selection Framework for Large-Scale Workloads
Materialized views (MVs) are an elegant redundant optimization technique for analytical workloads. Numerous frameworks and algorithms for selecting...
-
Designing HIV Vaccine Efficacy Trials in the Context of Highly Effective Non-vaccine Prevention Modalities
The evolving HIV prevention landscape poses challenges to the statistical design of future trials of candidate HIV vaccines. Study designs must...
-
Decoupling Combinatorial Complexity: a Two-Step Approach to Distributions of Runs
Runs statistics have found many applications in various fields and have attracted attentions of many researchers. Traditional methods used to...
-
Reliability, Life Testing, and Shelf Life
Shelf life, stability, and reliability are described as applications of life testing methods. An experimental approach to fitting models to...
-
On the Distribution of the Number of Success Runs in a Continuous Time Markov Chain
We propose a continuous-time adaptation of the well-known concept of success runs by considering a marked point process with two types of marks...
-
On Scan Statistics Through the Finite Markov Chain Imbedding Approach
This chapter provides a short review of the finite Markov chain imbedding approach for studying the distributions of discrete scan statistics,...
-
On Scan Statistics Through the Finite Markov Chain Imbedding Approach
This chapter provides a short review of the finite Markov chain imbedding approach for studying the distributions of discrete scan statistics,...
-
Probability, Surprisal, and Information
Performance tests and diagnostic scales are essential to modern societies and to the people that provide the data. Although statistical models for...
-
A Fast NDFA-Based Approach to Approximate Pattern-Matching for Plagiarism Detection in Blockchain-Driven NFTs
We are presenting a fast and innovative approach to performing approximate pattern-matching for plagiarism detection, using an NDFA-based approach...