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Table 2 List of abbreviations

From: GMA: Gap Imputing Algorithm for time series missing values

Symbol

Definition

GMA

The Gap Imputing Algorithm

MAR

Missing at random

MCAR

Missing completely at random

MNAR

Missing not at random

S

The total time series

Sf

The subsequence with no missing values

Sm

The subsequence with missing values

P

The number of readings in the periodic sequence for the longest component within the time series

W

Missing gaps

R

The right pattern for the missing gap

L

The left pattern for the missing gap

N

The number of readings in the missing gap

wl

the most similarity pattern to L in Sf

wr

the most similarity pattern to R in Sf

b

the start index for wl

e

the end index for wr

sr

Correlation value between R and wr

sl

Correlation value between L and wl

RMSE

mean squared error

MAE

mean absolute error

FSM

Full Subsequence Matching algorithm