Finally, a poset is called rank-unimodal if the sequence of sizes of the ranks is unimodal, increasing up to a widest point in the poset's middle and decreasing thereafter.

2 I recently became interested in this definition in trying to make rigorous my answer to this Question. In the univariate case a notion of unimodal function is generalized from that of a …

May 4, 2016 · Normal distributions are always unimodal. It looks like by "bimodal normal data" you mean a Gaussian Mixture Model (GMM) with 2 components (i.e. the PDF of the data is a …

Oct 29, 2020 · It is best to write this generating function as $$ \frac1 {1-q}\cdot \frac1 {1-q^2}\cdots \frac1 {1-q^ {k-1}}\cdot \frac {q^k} {1-q^k}\cdot \frac1 {1-q^ {k-1}}\cdots \frac1 {1-q} $$ Expand …

May 2, 2020 · Now I wanted to prove that this function is unimodal but I am unable to do so. Actually, I was learning Ternary Search so I wanted to apply that technique to a problem and …

I believe that if the independent random variables have identical unimodal distributions that are symmetrical about the mode, the sum will have unimodal distribution that is symmetric about …

Note that in both cases there can be more than one mode, since the maximum value of either the pmf or the pdf can be attained at more than one value. If there is a single mode, the …

Oct 28, 2020 · @Yves Daoust: good example, thanks. So in general, we can't prove. However, here, the stated functions have special forms and by plotting different cases, I have noticed …

May 25, 2024 · Show that the product of two symmetric unimodal polynomials is also symmetric unimodal Ask Question Asked 1 year, 5 months ago Modified 1 year, 5 months ago

Properties of unimodal functions Ask Question Asked 10 years, 3 months ago Modified 2 years, 6 months ago