A linear predictive analysis method for obtaining a coefficient which can be converted into a linear predictive coefficient corresponding to an input time series signal for each frame which is a predetermined time interval, the input time series signal being a digital audio signal, a digital acoustic signal, an electrocardiogram, an electroencephalogram, a magnetic encephalography or a seismic wave, the linear predictive analysis method comprising: an autocorrelation calculating step of calculating autocorrelation R o (i) between the input time series signal X o (n) of a current frame and the input time series signal X o (n-i) i sample before the input time series signal X o (n) or the input time series signal X o (n+i) i sample after the input time series signal X o (n) for each of at least i = 0, 1,..., P maX; and a predictive coefficient calculating step of obtaining a coefficient which can be converted into linear predictive coefficients from the first-order to the Pmax-order using modified autocorrelation R' o (i) obtained by multiplying the autocorrelation R o (i) by an coefficient for each corresponding i, characterized in that the linear prediction analysis method further comprises a coefficient determining step of acquiring the coefficient from one coefficient table among coefficient tables t0, t1 and t2 using a value having positive correlation with a pitch gain based on the input time series signal of the current frame or a past frame assuming that a coefficient w t0 (i) is stored in the coefficient table t0, a coefficient W t1 (i) is stored in the coefficient table t1, and a coefficient W t2 (i) is stored in the coefficient table t2, assuming that, according to the value having positive correlation with the pitch gain, a case is classified into any of a case where the pitch gain is high, a case where the pitch gain is medium, and a case where the pitch gain is low, a coefficient table from which a coefficient is acquired in the coefficient determining step when the pitch gain is high is set as a coefficient table t0, a coefficient table from which a coefficient is acquired in the coefficient determining step when the pitch gain is medium is set as a coefficient table t1, and a coefficient table from which a coefficient is acquired in the coefficient determining step when the pitch gain is low is set as a coefficient table t2, for at least part of i, w t0 (i) < W t1 (i) ≤ W t2 (i), for at least part of each i among other i, w t0 (i) ≤ W t1 (i) < W t2 (i), and for the remaining each i, w t0 (i) ≤ w t1 (i) ≤ w t2 (i), and the pitch gain is a normalized correlation between signals with time difference by a pitch period for the input time series signal or a linear predictive residual signal of the input time series signal. an autocorrelation calculating step of calculating autocorrelation R o (i) between the input time series signal X o (n) of a current frame and the input time series signal X o (n-i) i sample before the input time series signal X o (n) or the input time series signal X o (n+i) i sample after the input time series signal X o (n) for each of at least i = 0, 1,..., P maX; and a predictive coefficient calculating step of obtaining a coefficient which can be converted into linear predictive coefficients from the first-order to the Pmax-order using modified autocorrelation R' o (i) obtained by multiplying the autocorrelation R o (i) by an coefficient for each corresponding i, characterized in that the linear prediction analysis method further comprises a coefficient determining step of acquiring the coefficient from one coefficient table among coefficient tables t0, t1 and t2 using a value having positive correlation with a pitch gain based on the input time series signal of the current frame or a past frame assuming that a coefficient w t0 (i) is stored in the coefficient table t0, a coefficient W t1 (i) is stored in the coefficient table t1, and a coefficient W t2 (i) is stored in the coefficient table t2, assuming that, according to the value having positive correlation with the pitch gain, a case is classified into any of a case where the pitch gain is high, a case where the pitch gain is medium, and a case where the pitch gain is low, a coefficient table from which a coefficient is acquired in the coefficient determining step when the pitch gain is high is set as a coefficient table t0, a coefficient table from which a coefficient is acquired in the coefficient determining step when the pitch gain is medium is set as a coefficient table t1, and a coefficient table from which a coefficient is acquired in the coefficient determining step when the pitch gain is low is set as a coefficient table t2, for at least part of i, w t0 (i) < W t1 (i) ≤ W t2 (i), for at least part of each i among other i, w t0 (i) ≤ W t1 (i) < W t2 (i), and for the remaining each i, w t0 (i) ≤ w t1 (i) ≤ w t2 (i), and the pitch gain is a normalized correlation between signals with time difference by a pitch period for the input time series signal or a linear predictive residual signal of the input time series signal.