Non-Hermitian physics, which is able to provide solid and comprehensive descriptions for open systems with gain and loss as well as quasiparticle dynamics in condensed matter systems, has achieved substantial progress over the past two decades and become one of the hot topics at the frontiers of modern physics research. During the exploration of non-Hermitian physics, many intriguing and fundamental physical phenomena have emerged, such as the non-Hermitian skin effect and non-Hermitian edge burst. While the non-Hermitian skin effect is an intriguing static property, the non-Hermitian edge burst reveals a peculiar dynamical property of non-Hermitian systems, which corresponds to a counterintuitively high loss peak at the edge that stands out against the nearly invisible decaying tail. Once discovered numerically, this phenomenon has aroused widespread attention. Its physical origin is found to be an interplay between non-Hermitian skin effect and imaginary gap closing. Behind this novel phenomenon lies rich physics and profound connotations, which are attracting sustained exploration by both theoretical and experimental physicists. While two-band lattice systems have been extensively investigated, multi-band systems are still rarely addressed. In this work, a one-dimensional four-band non-Hermitian lossy lattice model is proposed, which possesses a two-chain structure and dissipation exists only on one of the four sublattice sites. Exact numerical simulations on the non-Hermitian quantum dynamics show that the one-dimensional four-band lattice also exhibits non-Hermitian edge burst. And more interestingly, compared with the one-dimensional double-chain two-band model, the parameter range where the non-Hermitian edge burst exists in the one-dimensional double-chain four-band model is greatly broadened, which could be dubbed as wideparameter-range non-Hermitian edge burst. Through analytical calculations of the generalized Brillouin zone and exact analysis on the energy spectrum under periodic boundary conditions, the physical origin of the wide-parameter-range non-Hermitian edge burst is also found to be the interplay of non-Hermitian skin effect and the imaginary gap closing. What is interesting is that the one-dimensional double-chain four-band model exhibits closed imaginary gap across the entire parameter domain of t₁, which ultimately enables the non-Hermitian edge burst to occur over a wide parameter region. Furthermore, utilizing the Green's function method and contour integration, the expression for the bulk loss probability is obtained and its power-law decay behavior is confirmed. The bulk scaling exponent α_b is derived and further verified by fitting the numerically obtained bulk loss probability P_x. Finally, based on the expression of bulk loss probability, an approximate expression for edge loss probability P_edge is derived. The results show that the wide-parameter-range non-Hermitian edge burst satisfies the universal bulk-edge scaling relation, i.e., α_e = α_b - 1. Additionally, numerical results verify that the wide-parameter-range non-Hermitian edge burst is highly robust against tiny perturbations of system parameters such as γ and t₂, and the phenomenon is immune to such small perturbations. The wide-parameter-range non-Hermitian edge burst is expected to be observed in various non-Hermitian systems, including quantum optical systems, topoelectrical circuits, acoustic systems, and ultracold atom platforms.