
    !g
              	       b	   d Z ddlZddlmZmZ ddlmZ ddl	m
Z ddlmZ ddlmZ dZ	 ddlmc mc mZ ddgZdd	gZ ej2                  dgdgd
z  z   dgz   e      Z ej2                  ddgdgdz  z   dgz   e      ZdZdZ eeeeez         Zeed Z ej<                           ej>                  e       dZ  ejB                  ee      \  Z"Z# ejH                  e#      dz   ejJ                  dejL                  z        z  Z' ejP                   ejR                  e#            dkD  r e*d       de# ejR                  e#      <   dZ ejV                  jY                  e' ejZ                  d            Z. ej^                  e.e'k(        Z0 e*d       e"e0   Z1e'e0   Z2 ej<                           ejf                  ddd       e r$ ej>                  e"e'e'd   z  de1e2e'd   z  d       n ej>                  e"e'de1e2d        ejh                  d        ejj                  e      \  Z6Z7e6jq                         Z6ejV                  jY                  e6 ejZ                  d            Z. ej^                  e.e6k(        Z0 ejf                  ddd       e r* ej>                  e7e6e6d   z  de7e0   e6e0   e6d   z  d       n ej>                  e7e6de7e0   e6e0   d        ejh                  d       erj ejr                  e      \  Z:Z; ejf                  ddd       e r ej>                  e;e:e:d   z         n ej>                  e;e:        ejh                  d        eed      Z< ejf                  ddd        ej>                  e<        ejh                  d        e=e      Z>ej~                  j                   ej                  eed            ZAeAeAj                         z  ZA ejf                  ddd       e r ej>                  eAde> eAd   z         n ej>                  eAde>         ejh                  d        erl ej                  ed
      \  ZDZE ejf                  ddd!       e r ej>                  eEeDeDd   z         n ej>                  eEeD        ejh                  d"       yy# e$ r dZY ww xY w)#zPeriodograms for ARMA and time series

theoretical periodogram of ARMA process and different version
of periodogram estimation

uses scikits.talkbox and matplotlib


Created on Wed Oct 14 23:02:19 2009

Author: josef-pktd
    N)signalndimage)arma_generate_sample)acovfFg      ?gffffffg333333?2   g333333g      1   g333333ӿi     z$Warning: nan in frequency response h   )	footprintzlocal maxima frequencies      -oDGP
matplotlibzstbs.periodogram)unbiased   autocovariancefullfft   zstbs.arspec)F__doc__numpynpscipyr   r   matplotlib.mlabmlabmlbmatplotlib.pyplotpyplotpltstatsmodels.tsa.arima_processr   statsmodels.tsa.stattoolsr   
hastalkboxscikits.talkbox.spectral.basictalkboxspectralbasicstbsImportErrorarmaconvolve	n_startupnobsxoxfigureplotrescalefreqzwhabssqrtpisdsumisnanprintfiltersmaximum_filteronespmnonzeromaxindwmaxsdmaxsubplottitlepsdsdmwmravelperiodogramsdpwpxacovlennrr   	correlatexacovfftconjarspecsdpawpa     b/var/www/dash_apps/app1/venv/lib/python3.12/site-packages/statsmodels/sandbox/tsa/try_arma_more.py<module>r\      s    !   > +
11 	$Z#YR[["qc"ftf$b)R[["dQCF"TF*B/	 "R	$/yzN 

 
v||B1RVVAY\'"''!BEE'""	266("((1+	
01AhbhhqkNG
 __##B'"''!*#=	B"H	   !y
6
 

 Aa 
CHHQ2a5#tU2a5[#6
 CHHQCuc* 
		% 
#''!*R	iik__##C72771:#>	B#I	 Aa 
CHHRCF
CFS[Q-?ECHHRc2f:s6{C8 			, dq!GCCKK!ACAJSCII !a%  Aa   			
 V66::lbll1Qv./hmmo% Aa 
CHHXcr]8A;&'CHHXcr] 			% Ar"ID#CKK!AT$q'\"dCIIm A  Js   R# #R.-R.