Normal distribution with loc and scale parameters
Mathematical details
tfd_normal( loc, scale, validate_args = FALSE, allow_nan_stats = TRUE, name = "Normal" )
loc |
Floating point tensor; the means of the distribution(s). |
scale |
loating point tensor; the stddevs of the distribution(s). Must contain only positive values. |
validate_args |
Logical, default FALSE. When TRUE distribution parameters are checked for validity despite possibly degrading runtime performance. When FALSE invalid inputs may silently render incorrect outputs. Default value: FALSE. |
allow_nan_stats |
Logical, default TRUE. When TRUE, statistics (e.g., mean, mode, variance) use the value NaN to indicate the result is undefined. When FALSE, an exception is raised if one or more of the statistic's batch members are undefined. |
name |
name prefixed to Ops created by this class. |
The probability density function (pdf) is,
pdf(x; mu, sigma) = exp(-0.5 (x - mu)**2 / sigma**2) / Z Z = (2 pi sigma**2)**0.5
where loc = mu is the mean, scale = sigma is the std. deviation, and, Z
is the normalization constant.
The Normal distribution is a member of the location-scale family, i.e., it can be
constructed as,
X ~ Normal(loc=0, scale=1) Y = loc + scale * X
a distribution instance.
For usage examples see e.g. tfd_sample(), tfd_log_prob(), tfd_mean().
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tfd_batch_reshape(),
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tfd_bernoulli(),
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tfd_categorical(),
tfd_cauchy(),
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tfd_empirical(),
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tfd_geometric(),
tfd_gumbel(),
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tfd_half_normal(),
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tfd_multivariate_normal_linear_operator(),
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