6 papers
Reducing bias and variance in quantile estimates with an exponential model
Rohit Pandey
Percentiles and more generally, quantiles are commonly used in various contexts to summarize data. For most distributions, there is exactly one quantile that is unbiased. For distr…
A simple proof of Blackwell's renewal theorem by mapping to integers
Rohit Pandey
This paper presents a new proof of the renewal theorem by bijecting a general point process to a deterministic one (where the time between events is always fixed). It also provides…
The mean and variance in coupons required to complete a collection
Rohit Pandey
This paper is about the Coupon collector's problem. There are some coupons, or baseball cards, or other plastic knick-knacks that are put into bags of chips or under soda bottles,…
Breaking hypothesis testing for failure rates
Rohit Pandey, Yingnong Dang, Gil Lapid Shafriri +2
We describe the utility of point processes and failure rates and the most common point process for modeling failure rates, the Poisson point process. Next, we describe the uniforml…
Annual Interruption Rate as a KPI, its measurement and comparison
Rohit Pandey, Yingnong Dang, Ali Vira +3
This article is divided into two chapters. The first chapter describes the failure rate as a KPI and studies its properties. The second one goes over ways to compare this KPI acros…
Optimizing Waiting Thresholds Within A State Machine
Rohit Pandey, Yifan Chang, Cameron White +4
Azure (the cloud service provided by Microsoft) is composed of physical computing units which are called nodes. These nodes are controlled by a software component called Fabric Con…