Class: Numo::GSL::Rstat
- Inherits:
-
Object
- Object
- Numo::GSL::Rstat
- Defined in:
- ext/numo/gsl/rstat/gsl_rstat.c
Defined Under Namespace
Classes: Quantile
Class Method Summary collapse
-
.new ⇒ Object
allocate instance of Rstat class.
Instance Method Summary collapse
-
#add(w) ⇒ Rstat
This function adds the data point x to the statistical accumulator, updating calculations of the mean, variance, standard deviation, skewness, kurtosis, and median.
-
#kurtosis ⇒ Float
This function returns the kurtosis of all data added to the accumulator, defined as.
-
#max ⇒ Float
This function returns the maximum value added to the accumulator.
-
#mean ⇒ Float
This function returns the mean of all data added to the accumulator, defined as.
-
#median ⇒ Float
This function returns an estimate of the median of the data added to the accumulator.
-
#min ⇒ Float
This function returns the minimum value added to the accumulator.
-
#n ⇒ Integer
(also: #size, #length)
This function returns the number of data so far added to the accumulator.
-
#reset ⇒ Object
This function resets the workspace w to its initial state, so it can begin working on a new set of data.
-
#rms ⇒ Float
This function returns the root mean square of all data added to the accumulator, defined as.
-
#sd ⇒ Float
This function returns the standard deviation of all data added to the accumulator, defined as the square root of the variance given above.
-
#sd_mean ⇒ Float
This function returns the standard deviation of the mean, defined as.
-
#skew ⇒ Float
This function returns the skewness of all data added to the accumulator, defined as.
-
#variance ⇒ Float
This function returns the variance of all data added to the accumulator, defined as.
Class Method Details
.new ⇒ Object
allocate instance of Rstat class.
This function allocates a workspace for computing running statistics. The size of the workspace is O(1).
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# File 'ext/numo/gsl/rstat/gsl_rstat.c', line 58
static VALUE
rstat_s_new(VALUE self)
{
gsl_rstat_workspace *w;
w = gsl_rstat_alloc();
if (!w) {
rb_raise(rb_eNoMemError,"fail to allocate struct");
}
return TypedData_Wrap_Struct(cRstat, &rstat_data_type, (void*)w);
}
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Instance Method Details
#add(w) ⇒ Rstat
This function adds the data point x to the statistical accumulator, updating calculations of the mean, variance, standard deviation, skewness, kurtosis, and median.
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# File 'ext/numo/gsl/rstat/gsl_rstat.c', line 125
static VALUE
rstat_add(VALUE self, VALUE v1)
{
gsl_rstat_workspace *w;
ndfunc_arg_in_t ain[1] = {{cDF,0}};
ndfunc_t ndf = {iter_rstat_add, FULL_LOOP, 1,0, ain,0};
TypedData_Get_Struct(self, gsl_rstat_workspace, &rstat_data_type, w);
na_ndloop3(&ndf, w, 1, v1);
return self;
}
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#kurtosis ⇒ Float
This function returns the kurtosis of all data added to the accumulator, defined as
kurtosis = ((1/N) \sum ((x_i - \Hat\mu)/\Hat\sigma)^4) - 3
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# File 'ext/numo/gsl/rstat/gsl_rstat.c', line 332
static VALUE
rstat_kurtosis(VALUE self)
{
gsl_rstat_workspace *w;
TypedData_Get_Struct(self, gsl_rstat_workspace, &rstat_data_type, w);
return DBL2NUM(gsl_rstat_kurtosis(w));
}
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#max ⇒ Float
This function returns the maximum value added to the accumulator.
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# File 'ext/numo/gsl/rstat/gsl_rstat.c', line 182
static VALUE
rstat_max(VALUE self)
{
gsl_rstat_workspace *w;
TypedData_Get_Struct(self, gsl_rstat_workspace, &rstat_data_type, w);
return DBL2NUM(gsl_rstat_max(w));
}
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#mean ⇒ Float
This function returns the mean of all data added to the accumulator, defined as
\Hat\mu = (1/N) \sum x_i
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# File 'ext/numo/gsl/rstat/gsl_rstat.c', line 204
static VALUE
rstat_mean(VALUE self)
{
gsl_rstat_workspace *w;
TypedData_Get_Struct(self, gsl_rstat_workspace, &rstat_data_type, w);
return DBL2NUM(gsl_rstat_mean(w));
}
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#median ⇒ Float
This function returns an estimate of the median of the data added to the accumulator.
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# File 'ext/numo/gsl/rstat/gsl_rstat.c', line 351
static VALUE
rstat_median(VALUE self)
{
gsl_rstat_workspace *w;
TypedData_Get_Struct(self, gsl_rstat_workspace, &rstat_data_type, w);
return DBL2NUM(gsl_rstat_median(w));
}
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#min ⇒ Float
This function returns the minimum value added to the accumulator.
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# File 'ext/numo/gsl/rstat/gsl_rstat.c', line 164
static VALUE
rstat_min(VALUE self)
{
gsl_rstat_workspace *w;
TypedData_Get_Struct(self, gsl_rstat_workspace, &rstat_data_type, w);
return DBL2NUM(gsl_rstat_min(w));
}
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#n ⇒ Integer Also known as: size, length
This function returns the number of data so far added to the accumulator.
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# File 'ext/numo/gsl/rstat/gsl_rstat.c', line 146
static VALUE
rstat_n(VALUE self)
{
gsl_rstat_workspace *w;
TypedData_Get_Struct(self, gsl_rstat_workspace, &rstat_data_type, w);
return SIZET2NUM(gsl_rstat_n(w));
}
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#reset ⇒ Object
This function resets the workspace w to its initial state, so it can begin working on a new set of data.
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# File 'ext/numo/gsl/rstat/gsl_rstat.c', line 77
static VALUE
rstat_reset(VALUE self)
{
gsl_rstat_workspace *w;
TypedData_Get_Struct(self, gsl_rstat_workspace, &rstat_data_type, w);
gsl_rstat_reset(w);
return Qnil;
}
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#rms ⇒ Float
This function returns the root mean square of all data added to the accumulator, defined as
rms = \sqrt ( 1/N \sum x_i^2 )
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# File 'ext/numo/gsl/rstat/gsl_rstat.c', line 288
static VALUE
rstat_rms(VALUE self)
{
gsl_rstat_workspace *w;
TypedData_Get_Struct(self, gsl_rstat_workspace, &rstat_data_type, w);
return DBL2NUM(gsl_rstat_rms(w));
}
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#sd ⇒ Float
This function returns the standard deviation of all data added to the accumulator, defined as the square root of the variance given above.
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# File 'ext/numo/gsl/rstat/gsl_rstat.c', line 245
static VALUE
rstat_sd(VALUE self)
{
gsl_rstat_workspace *w;
TypedData_Get_Struct(self, gsl_rstat_workspace, &rstat_data_type, w);
return DBL2NUM(gsl_rstat_sd(w));
}
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#sd_mean ⇒ Float
This function returns the standard deviation of the mean, defined as
sd_mean = \Hat\sigma / \sqrt[N]
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# File 'ext/numo/gsl/rstat/gsl_rstat.c', line 266
static VALUE
rstat_sd_mean(VALUE self)
{
gsl_rstat_workspace *w;
TypedData_Get_Struct(self, gsl_rstat_workspace, &rstat_data_type, w);
return DBL2NUM(gsl_rstat_sd_mean(w));
}
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#skew ⇒ Float
This function returns the skewness of all data added to the accumulator, defined as
skew = (1/N) \sum ((x_i - \Hat\mu)/\Hat\sigma)^3
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# File 'ext/numo/gsl/rstat/gsl_rstat.c', line 310
static VALUE
rstat_skew(VALUE self)
{
gsl_rstat_workspace *w;
TypedData_Get_Struct(self, gsl_rstat_workspace, &rstat_data_type, w);
return DBL2NUM(gsl_rstat_skew(w));
}
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#variance ⇒ Float
This function returns the variance of all data added to the accumulator, defined as
\Hat\sigma^2 = (1/(N-1)) \sum (x_i - \Hat\mu)^2
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# File 'ext/numo/gsl/rstat/gsl_rstat.c', line 226
static VALUE
rstat_variance(VALUE self)
{
gsl_rstat_workspace *w;
TypedData_Get_Struct(self, gsl_rstat_workspace, &rstat_data_type, w);
return DBL2NUM(gsl_rstat_variance(w));
}
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