Jonathan Landy
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Overview
I'm Jonathan Landy. I work on data science and enjoy writing about math and statistics.
News
LTV and the time value of money
Here, we review the time value of money concept and its application to optimizing marketing (or other asset investment) spend. Time value of money A popular lifetime value (LTV) variant is built on top of the "time value of money" concept. Essentially thi
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PCA slope vs regression slope
A regression fit can sometimes look surprisingly poor when plotted on top of data, with the two having visually different slopes. The reason is that the line that visually seems to go through the data best is that which minimizes total projection error, w
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Allocation with Substitutes
Here, we consider the problem of allocating limited inventory across demand sites, given the availability of a lower-quality substitute that can be used when inventory runs out. We find that it can be optimal to send the premium item to only a subset of l
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Optimal Elevator Placement
We ask at which floors we should place a set of idle elevators in a building so as to minimize the expected wait time of the next caller. If there is just one elevator, we show that it should be placed at the "median of the demand distribution" - i.e., it
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Queueing Theory of Traffic
When steady traffic limits the speed on a road, we argue that its throughput becomes independent of traffic density. As a result, the time required to reach a destination depends only on the number of cars ahead. In this regime, a road behaves much like a
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