# Tagged Questions

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### Vocabulary: do we measure actual values or observations?

Consider that $\theta$ is an hidden parameter and one has an observation such that $O$: $$O \sim N(\theta,\sigma^2).$$ My question concerning vocabulary: do we measure $\theta$ and it gives us ...
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### How many users will connect to my Server (simplified)?

This is a simplification of question: How many users will connect to my Server?, in which I'm trying to make it simpler and more defined. I have 5 days in a week. Each day has 6 temporal slots of 1 ...
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I need to model data access for a storage system where I have: $S =$ Number of Server Nodes (that hand out data to clients and store data) $D =$ Number of Data Nodes (that do not hand out data to ...
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### How to predict optimal reachability of outbound calls?

I'm trying to build a model to predict the optimal (clock) time for a outbound call to a person. The goal is to maximize reachability. The historical data contains some input variables (age, ...
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### Modeling nearest event through multivariate random variable with condition

There are two time sequences in my system, one of them represents IN events, and the other OUT events. Each IN event would be released by the nearest following OUT event or reaching the deadline. I ...
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### What is so cool about de Finetti's representation theorem?

From Theory of Statistics by Mark J. Schervish (page 12): Although DeFinetti's representation theorem 1.49 is central to motivating parametric models, it is not actually used in their ...
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### What are my options for estimating probabilities of success/failure?

So, I want to estimate the probability that a student will succeed or fail in a particular major (suppose success means in this case to graduate with that major) based on data from that student's ...
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### What is the difference between deterministic models and probabilistic models that assume that error follows a degenerate distribution?

I have thought for a while about this, and I'm not entirely certain what the difference is between a deterministic model and a probabilistic model with error following a degenerate distribution ...
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### Computing probability of proportions of (possibly) overlapping sets

Consider $n$ fixed subsets of a finite universe $U$: $A,B,C,D,\ldots$ Then let $Coll$ be the collection of sets we get from the closure of the set $\{U,A,B,C,D, \ldots\}$ under the operations ...
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### Statistics or probabilities associated to each cluster in order to predict if a future datapoint is member of its nearest center

Suppose we have a classical k-means where iteratively each datapoint is assigned to its nearest center. After a certain time, suppose that we change the dataset by another similar dataset containing ...
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### Effect of uncertainty in a parameter of a probability model on decisions — follow-up

I wrote this question which was previously answered I am exposing several experimental organisms to a toxin in the food. If the dosage is high enough, they will die. I am examining the number ...
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### Effect of uncertainty in a parameter of a probability model on decisions

I am exposing several experimental organisms to a toxin in the food. If the dosage is high enough, they will die. I am examining the number that are dead after a day. For practical reasons, the ...
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### Test to calculate the probability of winning

I'm running a predictive model to predict the probability of winning a certain item based on the price that I bid (other factors also). After running the model (ols) in R, I wanted to account for all ...
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### Statistics on mathematical “data”?

Lets say there is a theoretical relationship you want to prove over all values of some variable. For example, $F(x)$ increases with $x$. You are unable to come up with a general theoretical proof. ...
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### How to get started in data-relation algorithms and mathematics?

I am very interested in the concepts and discussions taking place here. However, I'm not entirely sure what this field of study is called or what the many branches of study are being discussed here ...
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### How to solve Chuck-a-Luck puzzle

Story (spoilers!) The puzzle: Chuck-a-Luck is a gambling game often played at carnivals and gambling houses. A player may bet on any one of the numbers 1,2,3,4,5,6. Three dice are rolled. ...
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### How to predict when the next event occurs, based on times of previous events?

I'm a high school student and I'm working on a computer programming project, but I don't have a lot of experience in statistics and modeling data beyond a high school statistics course so I'm kinda ...
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### Identify probability distributions

Given a sample data set of floating point numbers, how do we determine its probability distribution and prove it? Also generate random numbers of the same distributions thereafter.
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### Generator and/or interpreter of probability models

Even simple models in probability theory can be quite confusing (e.g. drawing something with or without returning it, conditional probabilities, one and only one outcome, at least one outcome ...
I have two models $M_1$ and $M_2$ that I am using to try and compare to observed data $D$. $M_1$ is an $n_1$-dimensional model, and $M_2$ is an $n_2$-dimensional problem. The Bayes factor $K$ to ...