Research Article

Best Lag Window for Spectrum Estimation of Law Order MA Process

Table 8

MSE values of MA(1) spectrum estimation with size (n = 10000).

WindowsDifferent values of parameter

Rectangular6.3173333616.3160641396.3193643836.3325739786.3457973656.3491053666.3478329566.345797365
Triangular6.3164795736.316058646.3172093796.3214683346.3255575146.3265540216.3255479786.325765604
Hanning6.3179738786.3160649256.3210147016.3411286486.3612061696.3657769876.3639520226.360915895
Hamming6.3167441456.3160634166.317846476.3247134926.3316535226.3338064766.3330381846.331920613
Blackman6.3157025466.3160620886.3150775736.3108168776.3050927256.3056637596.3058006056.308807089
Blackman–Harris6.3177986946.3160647026.3205494886.3387919636.3566910636.3609950726.3593378966.357012486
Flat top6.3176200526.3160644796.3200839946.3364451666.3520333396.3560396016.3546311146.35296128
Exponential6.3180118536.3160671316.3210182936.3411428756.3616339256.3675401546.3664622496.361999646
Gaussian6.3165932576.3160626416.3174791856.3228770816.3280907836.3295960796.3287667816.32845892
Welch(Riesz)6.3164811576.316060796.3172618186.3216578776.3257364186.3261492946.3246181966.32548475
Cosine6.3173333616.3160641396.3193643836.3325739786.3457973656.3491053666.3478329566.345797365
Parzen6.3184139736.3160766846.3215803216.343738856.3680670396.3811688286.3814704736.371855429
Bohman6.3164387996.3160619856.317108226.3210994646.324634466.325407676.3247489776.32506562
Poisson6.316531956.3160560956.3173200736.3221338626.3268573196.3282483286.3276030096.32730352
Hanning–Poisson6.3163913386.316055996.3169551546.3203086856.3235125836.324612116.3242136746.324156156
Cauchy6.3171775716.3160636316.318974456.330541926.3420802476.3449279286.3436281136.342071815
Bartlett–Hanning6.3177947496.3160645676.3205584176.3387643546.3569018266.3610460616.3593238926.356678845
Min-MSEBlackmanHanning–PoissonBlackmanBlackmanBlackmanBlackmanBlackmanBlackman