Timeline for Product of densities of a wrapped normal distribution
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 1, 2012 at 16:43 | comment | added | ostap bender | Douglas' comment answers my question. Bimodality indeed can not happen in a wrapped normal distribution. Thus, the product of two wrapped normal densities is unfortunately not wrapped normal. | |
| Aug 1, 2012 at 8:12 | history | edited | ostap bender |
edited tags
|
|
| Aug 1, 2012 at 6:15 | comment | added | Douglas Zare | If $\mu_1 = 0$ and $\mu_2 = \pi$ and $\sigma_1=\sigma_2$ then for generic values of $\sigma_1$ the product is bimodal, which I think can't happen for a wrapped normal density. | |
| Aug 1, 2012 at 2:47 | answer | added | Igor Rivin | timeline score: 1 | |
| Jul 31, 2012 at 20:48 | comment | added | Suvrit | one way to check is by seeing if the product of two Jacobi Theta functions is again some kind of Jacobi theta function with "reasonable" parameters---might be good to tag this question with "special-functions" to attract the attention of special function experts. | |
| Jul 31, 2012 at 16:06 | comment | added | ostap bender | Yes, it isn't. For the classical case of a normal distribution, it is possible to derive a formula for the new mass. I wonder whether there is a similar formula for the Wrapped Normal case. | |
| Jul 31, 2012 at 13:22 | comment | added | Douglas Zare | The total mass usually isn't $1$. | |
| Jul 31, 2012 at 13:10 | history | asked | ostap bender | CC BY-SA 3.0 |