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150 | 150 | "\n", |
151 | 151 | "`some_variable = mc.DiscreteUniform(\"discrete_uni_var\", 0, 4)`\n", |
152 | 152 | "\n", |
153 | | - "where 0,4 are the `DiscreteUniform`-specific upper and lower bound on the random variable. The [PyMC docs](http://pymc-devs.github.com/pymc/distributions.html) contain the specific parameters for stochastic variables. (Or use `??` if you are using IPython!)\n", |
| 153 | + "where 0, 4 are the `DiscreteUniform`-specific upper and lower bound on the random variable. The [PyMC docs](http://pymc-devs.github.com/pymc/distributions.html) contain the specific parameters for stochastic variables. (Or use `??` if you are using IPython!)\n", |
154 | 154 | "\n", |
155 | 155 | "The `name` attribute is used to retrieve the posterior distribution later in the analysis, so it is best to use a descriptive name. Typically, I use the Python variable's name as the name.\n", |
156 | 156 | "\n", |
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317 | 317 | "source": [ |
318 | 318 | "Clearly, if $\\tau, \\lambda_1$ and $\\lambda_2$ are known, then $\\lambda$ is known completely, hence it is a deterministic variable. \n", |
319 | 319 | "\n", |
320 | | - "Inside the deterministic decorator, the `Stochastic` variables passed in behave like scalars or Numpy arrays ( if multivariable), and *not* like `Stochastic` variables. For example, running the following:\n", |
| 320 | + "Inside the deterministic decorator, the `Stochastic` variables passed in behave like scalars or Numpy arrays (if multivariable), and *not* like `Stochastic` variables. For example, running the following:\n", |
321 | 321 | "\n", |
322 | 322 | " @mc.deterministic\n", |
323 | 323 | " def some_deterministic(stoch=some_stochastic_var):\n", |
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684 | 684 | "The *observed frequency* is then the frequency we observe: say rolling the die 100 times you may observe 20 rolls of 1. The observed frequency, 0.2, differs from the true frequency, $\\frac{1}{6}$. We can use Bayesian statistics to infer probable values of the true frequency using an appropriate prior and observed data.\n", |
685 | 685 | "\n", |
686 | 686 | "\n", |
687 | | - "With respect to our A/B example, we are interested in using what we know, $N$ (the total trials adminsitered) and $n$ (the number of conversions), to estimate what $p_A$, the true frequency of buyers, might be. \n", |
| 687 | + "With respect to our A/B example, we are interested in using what we know, $N$ (the total trials administered) and $n$ (the number of conversions), to estimate what $p_A$, the true frequency of buyers, might be. \n", |
688 | 688 | "\n", |
689 | 689 | "To setup a Bayesian model, we need to assign prior distrbutions to our unknown quantities. *A priori*, what do we think $p_A$ might be? For this example, we have no strong conviction about $p_A$, so for now, let's assume $p_A$ is uniform over [0,1]:" |
690 | 690 | ] |
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