22
33# # var
44"""
5- varm(x, w::AbstractWeights, m, [dim]; corrected=false)
5+ varm(x::AbstractArray , w::AbstractWeights, m, [dim]; corrected=false)
66
77Compute the variance of a real-valued array `x` with a known mean `m`, optionally
88over a dimension `dim`. Observations in `x` are weighted using weight vector `w`.
@@ -22,7 +22,7 @@ varm(v::RealArray, w::AbstractWeights, m::Real; corrected::DepBool=nothing) =
2222 _moment2 (v, w, m; corrected= depcheck (:varm , corrected))
2323
2424"""
25- var(x, w::AbstractWeights, [dim]; mean=nothing, corrected=false)
25+ var(x::AbstractArray , w::AbstractWeights, [dim]; mean=nothing, corrected=false)
2626
2727Compute the variance of a real-valued array `x`, optionally over a dimension `dim`.
2828Observations in `x` are weighted using weight vector `w`.
9898
9999# # std
100100"""
101- stdm(v , w::AbstractWeights, m, [dim]; corrected=false)
101+ stdm(x::AbstractArray , w::AbstractWeights, m, [dim]; corrected=false)
102102
103103Compute the standard deviation of a real-valued array `x` with a known mean `m`,
104104optionally over a dimension `dim`. Observations in `x` are weighted using weight vector `w`.
@@ -118,7 +118,7 @@ stdm(v::RealArray, w::AbstractWeights, m::Real; corrected::DepBool=nothing) =
118118 sqrt (varm (v, w, m, corrected= depcheck (:stdm , corrected)))
119119
120120"""
121- std(v , w::AbstractWeights, [dim]; mean=nothing, corrected=false)
121+ std(x::AbstractArray , w::AbstractWeights, [dim]; mean=nothing, corrected=false)
122122
123123Compute the standard deviation of a real-valued array `x`,
124124optionally over a dimension `dim`. Observations in `x` are weighted using weight vector `w`.
@@ -153,66 +153,68 @@ std(v::RealArray, w::AbstractWeights, dim::Int; mean=nothing,
153153"""
154154 mean_and_var(x, [w::AbstractWeights], [dim]; corrected=false) -> (mean, var)
155155
156- Return the mean and variance of a real-valued array `x`, optionally over a dimension
157- `dim`, as a tuple. Observations in `x` can be weighted using weight vector `w`.
156+ Return the mean and standard deviation of collection `x`. If `x` is an `AbstractArray`,
157+ `dim` can be specified as a tuple to compute statistics over these dimensions.
158+ A weighting vector `w` can be specified to weight the estimates.
158159Finally, bias correction is be applied to the variance calculation if `corrected=true`.
159160See [`var`](@ref) documentation for more details.
160161"""
161- function mean_and_var (A :: RealArray ; corrected:: Bool = true )
162- m = mean (A )
163- v = varm (A , m; corrected= corrected)
162+ function mean_and_var (x ; corrected:: Bool = true )
163+ m = mean (x )
164+ v = varm (x , m; corrected= corrected)
164165 m, v
165166end
166167
167168"""
168169 mean_and_std(x, [w::AbstractWeights], [dim]; corrected=false) -> (mean, std)
169170
170- Return the mean and standard deviation of a real-valued array `x`, optionally
171- over a dimension `dim`, as a tuple. A weighting vector `w` can be specified
172- to weight the estimates. Finally, bias correction is applied to the
171+ Return the mean and standard deviation of collection `x`. If `x` is an `AbstractArray`,
172+ `dim` can be specified as a tuple to compute statistics over these dimensions.
173+ A weighting vector `w` can be specified to weight the estimates.
174+ Finally, bias correction is applied to the
173175standard deviation calculation if `corrected=true`.
174176See [`std`](@ref) documentation for more details.
175177"""
176- function mean_and_std (A :: RealArray ; corrected:: Bool = true )
177- m = mean (A )
178- s = stdm (A , m; corrected= corrected)
178+ function mean_and_std (x ; corrected:: Bool = true )
179+ m = mean (x )
180+ s = stdm (x , m; corrected= corrected)
179181 m, s
180182end
181183
182- function mean_and_var (A :: RealArray , w:: AbstractWeights ; corrected:: DepBool = nothing )
183- m = mean (A , w)
184- v = varm (A , w, m; corrected= depcheck (:mean_and_var , corrected))
184+ function mean_and_var (x :: RealArray , w:: AbstractWeights ; corrected:: DepBool = nothing )
185+ m = mean (x , w)
186+ v = varm (x , w, m; corrected= depcheck (:mean_and_var , corrected))
185187 m, v
186188end
187- function mean_and_std (A :: RealArray , w:: AbstractWeights ; corrected:: DepBool = nothing )
188- m = mean (A , w)
189- s = stdm (A , w, m; corrected= depcheck (:mean_and_std , corrected))
189+ function mean_and_std (x :: RealArray , w:: AbstractWeights ; corrected:: DepBool = nothing )
190+ m = mean (x , w)
191+ s = stdm (x , w, m; corrected= depcheck (:mean_and_std , corrected))
190192 m, s
191193end
192194
193195
194- function mean_and_var (A :: RealArray , dim:: Int ; corrected:: Bool = true )
195- m = mean (A , dims = dim)
196- v = varm (A , m, dims = dim, corrected= corrected)
196+ function mean_and_var (x :: RealArray , dim:: Int ; corrected:: Bool = true )
197+ m = mean (x , dims = dim)
198+ v = varm (x , m, dims = dim, corrected= corrected)
197199 m, v
198200end
199- function mean_and_std (A :: RealArray , dim:: Int ; corrected:: Bool = true )
200- m = mean (A , dims = dim)
201- s = stdm (A , m, dim; corrected= corrected)
201+ function mean_and_std (x :: RealArray , dim:: Int ; corrected:: Bool = true )
202+ m = mean (x , dims = dim)
203+ s = stdm (x , m, dim; corrected= corrected)
202204 m, s
203205end
204206
205207
206- function mean_and_var (A :: RealArray , w:: AbstractWeights , dims:: Int ;
208+ function mean_and_var (x :: RealArray , w:: AbstractWeights , dims:: Int ;
207209 corrected:: DepBool = nothing )
208- m = mean (A , w, dims= dims)
209- v = varm (A , w, m, dims; corrected= depcheck (:mean_and_var , corrected))
210+ m = mean (x , w, dims= dims)
211+ v = varm (x , w, m, dims; corrected= depcheck (:mean_and_var , corrected))
210212 m, v
211213end
212- function mean_and_std (A :: RealArray , w:: AbstractWeights , dims:: Int ;
214+ function mean_and_std (x :: RealArray , w:: AbstractWeights , dims:: Int ;
213215 corrected:: DepBool = nothing )
214- m = mean (A , w, dims= dims)
215- s = stdm (A , w, m, dims; corrected= depcheck (:mean_and_std , corrected))
216+ m = mean (x , w, dims= dims)
217+ s = stdm (x , w, m, dims; corrected= depcheck (:mean_and_std , corrected))
216218 m, s
217219end
218220
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