# Questions tagged [indicator-function]

A function defined on a set indicating membership in a subset and taking values 0 and 1.

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### Dealing with 0's in loglog regression by using indicator functions I(x > 0)?

Assume we want to estimate the following model $y = e^{\beta_0} * x_1^{\beta_1} * x_2{\beta_3}$ which we can linearize into $\log(y) = \beta_0 + \beta_1 * \log x_1 + \beta_2 * \log x_2$ Assume that ...
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### Indicator variables in a Linear regression

For linear regression analysis, will changing the indicator variables change the table of sums of squares? Is there a way to illustrate this through a mathematical way via statistical formula or ...
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1 vote
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### How to solve an optimization problem with variable in indicator function?

How to solve the following optimization problem? $$\underset{D, U \in \mathbb{R}}{\min} (1+a)\text{E}_{X}[(X-D)\cdot\mathbb{1}_{\{D<X\leq U\}}] - (M-D)\cdot\mathbb{1}_{\{D<M\leq U\}},$$ where ...
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### Indiscpecies - multipatt and overcoming multi-comparrisons

What is the best way to overcome the potential issue of type 1 error when doing an indicator analysis using the multipatt function in the ...
1 vote
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### How do I get the CDF given a PDF with an indicator function?

Given $$f(x)=\frac{3}{4}(1-x^2 )𝟙_{(-1,1)}(x),\,x\in\mathbb{R}$$ How do I get $F(x)$? I know that the CDF of a random variable is defined as $$F(a)=\int_{- \infty}^{a} f(x)\,dx$$ In my case this ...
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### How does one treat the indicator function algebraically?

I am supposed to find the value for which $f(\cdot)$ (I don't understand the use of the dot here either) is a PDF in the following function: $$f(x) = k(1-x^2)𝟙_{(-1,1)}(x), x \in \ R$$ I know I ...
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1 vote
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### Formulating the Netwon Raphson

If this is the dataset under consideration and ...
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### What does 1 with an inequality in the subscript mean? [duplicate]

I have not seen the following notation before (the 1 with a subscript in the density): Consider the problem of sampling from the truncated normal distribution $\mathcal{N}_t (\mu, 1, a)$, given ...
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1 vote
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### Central Limit Theorem Approximation Exercise

Every time Sherry buys a book it is a math book with probability 0.3 and a novel with probability 0.7. Sherry keeps her math books in a bookcase that can hold 50 math books and keeps her novels in ...
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