Home on Hua (Wally) Xie's Digital Outpost [Site In Progress]/Recent content in Home on Hua (Wally) Xie's Digital Outpost [Site In Progress]Hugo -- gohugo.ioen-usArranging a Two-Parameter Gamma Distribution into Exponential Family Form/posts/gamma-distribution-exponential-family/Wed, 23 Dec 2020 00:00:00 +0000/posts/gamma-distribution-exponential-family/Note: MathJax 3, Hugo, and Netlify just aren’t playing nice for some reason, so pardon any \(\LaTeX\) spillage.
A probability distribution function (PDF) is part of the exponential family if it can be arranged into the form
$$ f(x|\theta) = h(x)c(\theta)\exp\left(\sum_{i=1}^kw_i(\theta)t_i(x)\right) $$
where \(\theta\) is the vector of parameters. The shape-scale parameterization of the Gamma distribution PDF takes the form
$$ f_X(x) = \frac{1}{\Gamma(k)\beta(k)}x^{k-1}e^{-\frac{x}{\beta}} $$
We use \(\beta\) to notate the rate parameter in the shape-rate parameterization of the Gamma PDF, while \(k\) is the symbol for the scale parameter.Some older notes about matrix diagonalization to solve a linear ordinary differential equation system/posts/matrix-diagonalization-to-solve-linear-ode/Wed, 23 Dec 2020 00:00:00 +0000/posts/matrix-diagonalization-to-solve-linear-ode/Here is a link to some brief PDF notes I wrote previously on the older incarnation of my blog about using matrix diagonalization techniques to solve an example linear ordinary differential equation system modeling some population dynamics.First first-author paper out in Biogeosciences/posts/bayesian-approach-to-sbm-evaluation-using-ic-and-cv/Mon, 24 Aug 2020 00:00:00 +0000/posts/bayesian-approach-to-sbm-evaluation-using-ic-and-cv/“A Bayesian approach to soil biogeochemical model evaluation [using information criteria and approximate cross-validation]” This one took a while to get out. The project was started in late 2016 as an offshoot of Adriana Romero-Olivares' soil warming meta-analysis detailed in “Soil microbes and their response to experimental warming over time: A meta-analysis of field studies” and was originally meant to be a section of that paper before becoming its own project.Min Chef (民厨) in Tustin, OC/posts/min-chef/Fri, 08 May 2020 00:00:00 +0000/posts/min-chef/Min Chef (民厨) is a pseudo-老北京 (Lao Beijing) restaurant that serves quality variants of authentic Northern Chinese food. Edit3: 民厨 has re-opened as of the latter part of September, 2020!
They have a humble website that I wish had their menu in Chinese. But, that’s a minor quib. In my less-humble opinion, Min Chef is probably one of the best Chinese restaurants in California (and by extension, Los Estados Unidos). The chef, whose name I should get at some point, puts a personal flair on traditional 老北京 (Lao Beijing) dishes that are familiar as comfort food for blue-collar Beijingers, such as 炸酱面 and 炸灌肠儿 (note the all important 儿).About Hua Xie/about/Mon, 01 Jan 0001 00:00:00 +0000/about/Beginnings I am part of the Chinese diaspora and am classified as a Metal Horse by the Chinese Zodiac. After immigrating to the United States, my parents toiled diligently to raise me, and they demonstrated the qualities of persistence, selflessness, and vigor in a manner that I will be hard-pressed to match. However, I will try for the sake of my family, friends, and community. The well-being of my family, friends, and colleagues is my top priority; do let me know if I can do better by reaching out to me.