fbd189f0-badb-4e32-9a07-e293fd8cd515 24 6 5 auto

&[DATE] &[TIME] - &[FILENAME]

1. Construct a noisy vector

x f x sin (12^1 + 0.1 x * + :

m 99 :

n 1 m range t n el n 100 / 3 * π * : for

n 1 m range u n el n : for

Generate the demo noisy vector n 1 m range d n el n 100 / 3 * π * f 1 Random + eval : 11 line for v d 1 el : j 2 d rows range v v d j el stack : for d v : 41 line

raw u d augment :

2. Initialise the times series

raw

k 110 range y k el d k el : x k el t k el : 21 line for

b x y Slope eval : 0.041587

v 1.592729 1.245579 1.05627 1.253958 1.861368 1.22354 1.081054 1.48976 1.672643 1.220101 1.435013 1.795633 2.319483 2.198544 2.611133 2.162132 3.125067 2.591909 2.067706 1.930377 2.353048 1.735844 1.773489 1.795375 1.743229 1.9192 1.67279 1.484083 2.14345 1.993678 2.188665 1.680306 1.634086 1.784524 1.966119 1.423844 1.394471 1.391632 1.661594 2.030518 1.729667 1.810752 2.429728 2.37432 2.00723 2.430318 2.289262 2.325127 2.854225 3.389486 2.579867 2.463216 2.763865 2.146051 2.333527 1.886509 2.514432 2.050162 1.619857 1.715416 2.045499 1.82802 2.366833 2.007291 1.861523 2.11728 2.483422 2.077799 1.894481 2.466738 2.401362 2.417843 2.357747 2.642407 2.445572 2.374085 2.2454 2.828348 2.285524 3.112412 2.936789 2.750962 3.657555 3.040389 3.473381 2.797285 3.164498 2.861512 2.913228 2.763968 2.676872 2.667212 2.718239 2.118388 2.860759 2.448079 1.944957 2.857217 2.892732 991 mat

s x y Intercept eval : 1.348143

α 0.4 :

β 0.1 :

s 1 el s :

b 1 el b :

3. Construct/conclude the times series

m 2 n range s m el α d m el * 1 α - (s m 1 - el b m 1 - el + (* + : b m el α β * d m el s m 1 - el b m 1 - el + (- (* b m 1 - el + : 21 line for 11 line

P 1 el s 1 el : m 2 n range P m el s m 1 - el b m 1 - el + : for 21 line

Series u P augment :

raw Series 2 1 sys